Statistical physics Books
World Scientific Publishing Co Pte Ltd Wet Granular Matter: A Truly Complex Fluid
Book SynopsisThis is a monograph written for the young and advanced researcher who is entering the field of wet granular matter, keen to understand the basic physical principles governing this state of soft matter. It treats wet granulates as a ternary system consisting of the grains, a primary, and a secondary fluid. After generally addressing wetting phenomena and outlining the basic facts on dry granular systems, a chapter on basic mechanisms and their effects is dedicated to every region of the ternary phase diagram. Effects of grain shape and roughness are considered as well. Rather than addressing engineering aspects like existing books on this topic do, this book aims to provide a generalized framework suitable for those who want to understand these systems on a more fundamental basis. It spans a wide scope of questions, ranging from possible general principles behind the emergence of structure and pattern, to the interpretation of geological outcrop features we encounter in nature.
£108.00
World Scientific Publishing Company 50 Years Of The Renormalization Group Dedicated
Book Synopsis
£162.00
World Scientific Publishing Company Pbits And Qbits Probabilistic And Quantum
Book Synopsis
£52.25
World Scientific Publishing Company Spin Glass Theory And Far Beyond Replica Symmetry
Book Synopsis
£85.50
Springer Verlag, Singapore Mathematical Modeling of Shock-Wave Processes in
Book SynopsisThis book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress–strain relationships derived with relaxation and inertia effect in elastic–plastic transition determines material properties in transient regimes.Table of ContentsChapter 1 Models of continuum mechanics and their deficiencies 1.1 Description of macroscopic systems; macroscopic variables 1.2 Macroscopic transport equations 1.3 The problem of closure of the transport equations 1.4 Validity of continuum mechanics 1.5 Scale averaging effect on transport processes 1.6 Medium models and transient processes 1.7 The problem of a uniform description of the media motions 1.8 Deficiencies of the continuum mechanics concept 1.9 Short review of approaches to extension of continuum mechanics Chapter 2 Specific Features of Processes Far from Equilibrium 2.1 Experimental difficulties in studying non-equilibrium processes 2.2 Anomalous medium response to strong impact 2.3 The internal structure effects 2.4 Fluctuations, oscillations, instabilities 2.5 Multi-scale energy exchange between various degrees of freedom 2.6 Multi-stage relaxation processes 2.7 Finite speed of disturbances propagation and the delay effects 2.8 Influence of the loading duration and inertial effects 2.9 Dynamic self-organization of new internal structure in open systems 2.10 Predictive ability of modeling non-equilibrium processes Chapter 3 Macroscopic Description in Terms of Non-equilibrium Statistical Mechanics 3.1 Fundamentals of statistical mechanics 3.2 Description of macroscopic systems from the first principles 3.3 Main problem of non-equilibrium statistical mechanics 3.4 Rigorous statistical approaches to non-equilibrium processes 3.5 Non-equilibrium statistical operator by Zubarev 3.6 Bogolyubov’s hypothesis of attenuation of spatiotemporal correlations 3.7 The nonlocal thermodynamic relationships with memory between the conjugate macroscopic fluxes and gradients 3.8 Two type of the nonlocal effects 3.9 The disadvantages and new opportunities to close transport equations for high-rate processes Chapter 4 Thermodynamic Concepts Out of Equilibrium 4.1 Basic concepts and principles of thermodynamics 4.2 Linear thermodynamics of irreversible processes 4.3 Revision of the generally accepted thermodynamic concepts out of equilibrium 4.4 Local entropy production near and far from equilibrium 4.5 Total entropy generation and the second law of thermodynamics 4.6 Maximum entropy principle by Jaynes 4.7 Thermodynamic temporal evolution out of equilibrium 4.8 Influence of the constraints imposed on the system 4.9 Self-organization of new structures in thermodynamics Chapter 5 New Approach to Modeling Non-equilibrium Processes 5.1 Generalized constitutive relationships based on non-equilibrium statistical mechanics 5.2 Modeling spatiotemporal correlation functions 5.3 Temporal stages of the correlation attenuation 5.4 Deficiencies of the generally accepted models for the medium with complicated properties 5.5 Requirements to new approach to modeling shock-induced processes 5.6 Foundations of new approach to modeling transport processes far from equilibrium 5.7 New approach to modeling transport processes far from equilibrium 5.8 Distinctive features of new approach from semi-empirical models 5.9 Interrelationships between spatiotemporal correlations and dynamic structure of the system 5.10 Modeling correlation functions in boundary-value problems 5.11 Boundary conditions for nonlocal equations 5.12 The mathematical basis for the self-consistent problem formulation 5.13 Discrete size spectrum of the dynamic structure of a bounded system Chapter 6 Description of the Structure Evolution Using Methods of Control Theory of Adaptive Systems 6.1 Methods of control theory in physics. Cybernetical physics 6.2 Speed gradient principle by Fradkov for non-stationary complex systems 6.3 Description of the system temporal evolution at macroscale level 6.4 Temporal evolution of statistical distributions at microscale 6.5 The need to describe temporal evolution out of equilibrium at mesoscale 6.6 Principle of maximum entropy by Jaynes and the goal function of the structure evolution 6.7 Integral entropy production and reduction of irreversible losses due to self-organization 6.8 Internal control at mesoscale based on Speed gradient principle 6.9 Paths of the system evolution and prediction of the limit states 6.10 Influence of feedbacks on the paths of the system evolution Chapter 7 The Shock-Induced Planar Wave Propagation in Condensed Matter 7.1 Thermodynamic properties of solids 7.2 Wave processes in crystal lattice 7.3 Elastic properties of solids 7.4 Plastic deformation. Deficiencies of continuum mechanics 7.5 Shock wave as a non-equilibrium transient process 7.6 The integral model for the stress tensor without separation into elastic and plastic parts 7.7 Integral formulation of the problem of the shock-induced wave propagation in condensed matter 7.8 Self-similar quasi-stationary solution to the problem 7.9 The relaxation model of shock-induced waveforms during propagation 7.10 Comparison of the model waveforms with experimental data Chapter 8 Evolution of Waveforms during Propagation in Solids 8.1 Entropy production in finite-time waveforms 8.2 Speed gradient principle for the waveforms evolution 8.3 The waveform evolution during quasi-stationary wave propagation 8.4 Paths of the waveform evolution on a surface of the entropy production over a phase plane 8.5 Coincidence with experimental results Chapter 9 Abnormal Loss or Growth of the Wave Amplitude 9.1 Dependence of the waveform amplitude on the impact velocity 9.2 The wave amplitude loss due to various relaxation effects 9.3 Interference of shock wave at mesoscale 9.4 Wave packet spreading 9.5 Mass velocity dispersion and turbulent effects 9.6 Multi-scale momentum and energy exchange in wave processes 9.7 Self-organization and the structure instability Chapter 10 The Stress-Strain Relationships for the Continuous Stationary Loading 10.1 Difference between shock and continuous loading at the same amplitude 10.2 Influence of the relaxation and delay effects on the medium response to short and long loading 10.3 Entropy production surfaces for various duration loading and possible evolutionary paths 10.4 Meta-stable states and the system structural instability 10.5 Probable change of the evolution paths and their direction 10.6 Dependence of final states on the initial and loading conditions 10.7 Influence of the feedbacks between the structure evolution and the material response 10.8 Control of the evolution paths to obtain the desired structure of the material
£104.49
World Scientific Publishing Co Pte Ltd Statistical Physics Of Crystals And Liquids: A
Book SynopsisThis important book presents a unified formulation from first principles of the Hamiltonian and statistical mechanics of metallic and insulating crystals, amorphous solids, and liquids. Extensive comparison of theory and experiment provides an accurate understanding of the statistical properties of phonons, electrons, and phonon-phonon and electron-phonon interactions in elemental crystals and liquids. Questions are posed along the following lines: What is the “best” theory for a given property? How accurate is a good theory? What information is gained by a comparison of theory and experiment? How accurate is a good experiment?Table of ContentsCondensed Matter Hamiltonian; Statistical Mechanics; Lattice Dynamics; Statistical Mechanics of Crystals; Liquid Dynamics and Statistical Mechanics; Phase Transitions and Nonequilibrium Processes.
£45.60
World Scientific Publishing Co Pte Ltd Equilibrium Statistical Physics (3rd Edition)
Book SynopsisThis third edition of one of the most important and best selling textbooks in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.The discussion of strongly interacting condensed matter systems has been expanded. A chapter on stochastic processes has also been added with emphasis on applications of the Fokker-Planck equation.The modern theory of phase transitions occupies a central place. The chapter devoted to the renormalization group approach is largely rewritten and includes a detailed discussion of the basic concepts and examples of both exact and approximate calculations. The development of the basic tools includes a chapter on computer simulations in which both Monte Carlo method and molecular dynamics are introduced, and a section on Brownian dynamics added.The theories are applied to a number of important systems such as liquids, liquid crystals, polymers, membranes, Bose condensation, superfluidity and superconductivity. There is also an extensive treatment of interacting Fermi and Bose systems, percolation theory and disordered systems in general.Table of ContentsReview of Thermodynamics; Statistical Ensembles; Mean Field and Landau Theory; Dense Gases and Liquids; Critical Phenomena I; Critical Phenomena II: The Renormalization Group; Simulations; Polymers and Membranes; Quantum Fluids; Linear Response Theory; Disordered Materials.
£99.90
World Scientific Publishing Co Pte Ltd Equilibrium Statistical Physics (3rd Edition)
Book SynopsisThis third edition of one of the most important and best selling textbooks in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.The discussion of strongly interacting condensed matter systems has been expanded. A chapter on stochastic processes has also been added with emphasis on applications of the Fokker-Planck equation.The modern theory of phase transitions occupies a central place. The chapter devoted to the renormalization group approach is largely rewritten and includes a detailed discussion of the basic concepts and examples of both exact and approximate calculations. The development of the basic tools includes a chapter on computer simulations in which both Monte Carlo method and molecular dynamics are introduced, and a section on Brownian dynamics added.The theories are applied to a number of important systems such as liquids, liquid crystals, polymers, membranes, Bose condensation, superfluidity and superconductivity. There is also an extensive treatment of interacting Fermi and Bose systems, percolation theory and disordered systems in general.Trade Review"... an intriguing, fresh approach to modern statistical mechanics ... choice of problems is superb." - Physics TodayTable of ContentsReview of Thermodynamics; Statistical Ensembles; Mean Field and Landau Theory; Dense Gases and Liquids; Critical Phenomena I; Critical Phenomena II: The Renormalization Group; Simulations; Polymers and Membranes; Quantum Fluids; Linear Response Theory; Disordered Materials.
£57.95
World Scientific Publishing Co Pte Ltd Farewell To Entropy, A: Statistical
Book SynopsisThe principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term “entropy” with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the “driving force” of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term “entropy”; almost 50 years since Shannon developed the mathematical theory of “information” — subsequently renamed “entropy”. In this book, the author advocates replacing “entropy” by “information”, a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term “entropy”.The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the “driving force” for which is analyzed in terms of information.Table of ContentsElements of Probability Theory; Elements of Information Theory; Transition from the General MI to the Thermodynamic MI; The Structure of the Foundations of Statistical Thermodynamics; Some Simple Applications.
£117.00
World Scientific Publishing Co Pte Ltd Farewell To Entropy, A: Statistical
Book SynopsisThe principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term “entropy” with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the “driving force” of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term “entropy”; almost 50 years since Shannon developed the mathematical theory of “information” — subsequently renamed “entropy”. In this book, the author advocates replacing “entropy” by “information”, a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term “entropy”.The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the “driving force” for which is analyzed in terms of information.Table of ContentsElements of Probability Theory; Elements of Information Theory; Transition from the General MI to the Thermodynamic MI; The Structure of the Foundations of Statistical Thermodynamics; Some Simple Applications.
£38.00
World Scientific Publishing Co Pte Ltd Proceedings Of The Conference In Honor Of C N
Book SynopsisThe Conference on Statistical Physics, High Energy, Condensed Matter and Mathematical Physics was held in honor of Professor Chen-Ning Yang's 85th birthday in Singapore in Oct-Nov 2007. The conference paid tribute to the breadth and depth of Professor Yang's achievements in physics and science education since he received his Nobel Prize in Physics fifty years ago.This notable birthday volume is a collection of the presentations made at the conference by many eminent scientists who had worked closely with him or who have been influenced to some extent by his work.
£166.50
World Scientific Publishing Co Pte Ltd Noisy Pendulum, The
Book SynopsisThis book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon — deterministic chaos — comes into play, and the common action of this chaos and the influence of noise are taken into account. The inverted position of the pendulum can be stabilized either by periodic or random oscillations of the suspension axis or by inserting a spring into a rigid rod, or by their combination. The pendulum is one of the simplest nonlinear models, which has many applications in physics, chemistry, biology, medicine, communications, economics and sociology. A wide group of researchers working in these fields, along with students and teachers, will benefit from this book.Table of ContentsFormulation of the Problem; Deterministic Motion; Underdamped Pendulum; Deterministic Chaos; Inverted Pendulum.
£61.75
World Scientific Publishing Co Pte Ltd Excursions In The Land Of Statistical Physics
Book SynopsisThis book is a compilation of selected reviews by Professor Michael E Fisher. Fisher's major contributions to physics have been in equilibrium statistical mechanics, and have spanned the entire range of that subject. He has been credited with bringing together, and teaching a common language to chemists and physicists working on diverse problems of phase transitions.About the Book by the AuthorTalking informally in a clear way came naturally once intrigued by a field of science; that helped me accept the invitation to publish a collection of review articles. And working actively in an area has led me to express what is new in basic terms, with lots of figures framed, typically, via two- or three-dimensional images. Also encouraging was that my reviews — with crucial references — were recognized in 1983 by the U.S. National Academy of Sciences through their James Murray Luck Award for 'excellence in scientific reviewing.'However, the first article in this collection is by my postdoctoral mentor, Cyril Domb, whose inaugural lecture at King's College London was entitled: 'Statistical Physics and its Problems.' This provides readers with a context for some of the topics later reviewed in greater depth. Among the aspects then explained, are the various critical exponents: α, β, γ, and δ — the special exponents η and ν for the correlation functions, and the scaling relations. Phase diagrams are examined thoroughly along with tricritical and bicritical points, Kosterlitz-Thouless points, protocriticality, etc. Random walks along with vicious walkers and their reunions are introduced. Biophysics is touched upon. The final article: 'Statistical Physics in the Oeuvre of Chen Ning Yang,' stems from the 2015 Conference on 60 Years of Yang-Mills Gauge Field Theories.In conclusion, it is hoped that a wide range of readers (and some experts also!) will enjoy dipping into the variety of reviews collected here.
£117.00
World Scientific Publishing Co Pte Ltd Excursions In The Land Of Statistical Physics
Book SynopsisThis book is a compilation of selected reviews by Professor Michael E Fisher. Fisher's major contributions to physics have been in equilibrium statistical mechanics, and have spanned the entire range of that subject. He has been credited with bringing together, and teaching a common language to chemists and physicists working on diverse problems of phase transitions.About the Book by the AuthorTalking informally in a clear way came naturally once intrigued by a field of science; that helped me accept the invitation to publish a collection of review articles. And working actively in an area has led me to express what is new in basic terms, with lots of figures framed, typically, via two- or three-dimensional images. Also encouraging was that my reviews — with crucial references — were recognized in 1983 by the U.S. National Academy of Sciences through their James Murray Luck Award for 'excellence in scientific reviewing.'However, the first article in this collection is by my postdoctoral mentor, Cyril Domb, whose inaugural lecture at King's College London was entitled: 'Statistical Physics and its Problems.' This provides readers with a context for some of the topics later reviewed in greater depth. Among the aspects then explained, are the various critical exponents: α, β, γ, and δ — the special exponents η and ν for the correlation functions, and the scaling relations. Phase diagrams are examined thoroughly along with tricritical and bicritical points, Kosterlitz-Thouless points, protocriticality, etc. Random walks along with vicious walkers and their reunions are introduced. Biophysics is touched upon. The final article: 'Statistical Physics in the Oeuvre of Chen Ning Yang,' stems from the 2015 Conference on 60 Years of Yang-Mills Gauge Field Theories.In conclusion, it is hoped that a wide range of readers (and some experts also!) will enjoy dipping into the variety of reviews collected here.Table of ContentsMichael Fisher At King's College London (Cyril Domb); The Theory of Condensation And The Critical Point (Michael E Fisher); The States of Matter - A Theoretical Perspective (Michael E Fisher); Walks, Walls, Wetting, and Melting (Michael E Fisher); Condensed Matter Physics: Does Quantum Mechanics Matter? (Michael E Fisher); Phases and Phase Diagrams - Gibbs' Legacy Today (Michael E Fisher); How to Simulate Fluid Criticality: The Simplest Ionic Model has Ising Behavior but the Proof is Not so Obvious! (Michael E Fisher); Molecular Motors: A Theorist's Perspective (Anatoly B Kolomeisky and Michael E Fisher); Renormalization Group Theory, the Epsilon Expansion and Ken Wilson as I Knew Him (Michael E Fisher); Statistical Physics in the Oeuvre of Chen Ning Yang (Michael E Fisher);
£38.00
World Scientific Publishing Co Pte Ltd Statistical Mechanics And The Physics Of
Book SynopsisThe book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
£360.00
World Scientific Publishing Co Pte Ltd Statistical Mechanics And The Physics Of
Book SynopsisThe book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
£76.95
World Scientific Publishing Co Pte Ltd Introduction To Statistical Mechanics: Solutions
Book SynopsisStatistical mechanics is concerned with defining the thermodynamic properties of a macroscopic sample in terms of the properties of the microscopic systems of which it is composed. The previous book Introduction to Statistical Mechanics provided a clear, logical, and self-contained treatment of equilibrium statistical mechanics starting from Boltzmann's two statistical assumptions, and presented a wide variety of applications to diverse physical assemblies. An appendix provided an introduction to non-equilibrium statistical mechanics through the Boltzmann equation and its extensions. The coverage in that book was enhanced and extended through the inclusion of many accessible problems. The current book provides solutions to those problems. These texts assume only introductory courses in classical and quantum mechanics, as well as familiarity with multi-variable calculus and the essentials of complex analysis. Some knowledge of thermodynamics is also assumed, although the analysis starts with an appropriate review of that topic. The targeted audience is first-year graduate students and advanced undergraduates, in physics, chemistry, and the related physical sciences. The goal of these texts is to help the reader obtain a clear working knowledge of the very useful and powerful methods of equilibrium statistical mechanics and to enhance the understanding and appreciation of the more advanced texts.
£21.85
World Scientific Publishing Co Pte Ltd Statistical Thermodynamics For Beginners
Book SynopsisThis book is the distilled essence of the author teaching statistical mechanics to juniors, seniors and graduate students for over 50 years in various course settings. It uses a unique approach that leads naturally into the development of all possible ensembles. Much of the later chapters on polymers has previously been available only in the literature. Throughout the book, the assumption is made that the reader is still relatively raw, and mathematical detail is provided that other books leave to the abilities of the reader. While this produces a plethora of equations that mature scientists would regard as unnecessary, it is intended to help those just coming into the field and who want to get the idea without suffering hours of agony wondering, 'where did that come from?'.
£76.95
World Scientific Publishing Co Pte Ltd Statistical Thermodynamics For Beginners
Book SynopsisThis book is the distilled essence of the author teaching statistical mechanics to juniors, seniors and graduate students for over 50 years in various course settings. It uses a unique approach that leads naturally into the development of all possible ensembles. Much of the later chapters on polymers has previously been available only in the literature. Throughout the book, the assumption is made that the reader is still relatively raw, and mathematical detail is provided that other books leave to the abilities of the reader. While this produces a plethora of equations that mature scientists would regard as unnecessary, it is intended to help those just coming into the field and who want to get the idea without suffering hours of agony wondering, 'where did that come from?'.
£38.00
World Scientific Publishing Co Pte Ltd Introduction To Statistical Mechanics: Solutions
Book SynopsisStatistical mechanics is concerned with defining the thermodynamic properties of a macroscopic sample in terms of the properties of the microscopic systems of which it is composed. The previous book Introduction to Statistical Mechanics provided a clear, logical, and self-contained treatment of equilibrium statistical mechanics starting from Boltzmann's two statistical assumptions, and presented a wide variety of applications to diverse physical assemblies. An appendix provided an introduction to non-equilibrium statistical mechanics through the Boltzmann equation and its extensions. The coverage in that book was enhanced and extended through the inclusion of many accessible problems. The current book provides solutions to those problems. These texts assume only introductory courses in classical and quantum mechanics, as well as familiarity with multi-variable calculus and the essentials of complex analysis. Some knowledge of thermodynamics is also assumed, although the analysis starts with an appropriate review of that topic. The targeted audience is first-year graduate students and advanced undergraduates, in physics, chemistry, and the related physical sciences. The goal of these texts is to help the reader obtain a clear working knowledge of the very useful and powerful methods of equilibrium statistical mechanics and to enhance the understanding and appreciation of the more advanced texts.
£45.60
World Scientific Publishing Co Pte Ltd Intermediate Statistical Mechanics
Book SynopsisIn this new textbook, a number of unusual applications are discussed in addition to the usual topics covered in a course on Statistical Physics. Examples are: statistical mechanics of powders, Peierls instability, graphene, Bose-Einstein condensates in a trap, Casimir effect and the quantum Hall effect. Superfluidity and super-conductivity (including the physics of high-temperature superconductors) have also been discussed extensively.The emphasis on the treatment of these topics is pedagogic, introducing the basic tenets of statistical mechanics, with extensive and thorough discussion of the postulates, ensembles, and the relevant statistics. Many standard examples illustrate the microcanonical, canonical and grand canonical ensembles, as well as the Bose-Einstein and Fermi-Dirac statistics.A special feature of this text is the detailed presentation of the theory of second-order phase transitions and the renormalization group, emphasizing the role of disorder. Non-equilibrium statistical physics is introduced via the Boltzmann transport equation. Additional topics covered here include metastability, glassy systems, the Langevin equation, Brownian motion, and the Fokker-Planck equation.Graduate students will find the presentation readily accessible, since the topics have been treated with great deal of care and attention to detail.
£76.95
World Scientific Publishing Co Pte Ltd Langevin Equation, The: With Applications To
Book SynopsisOur original objective in writing this book was to demonstrate how the concept of the equation of motion of a Brownian particle — the Langevin equation or Newtonian-like evolution equation of the random phase space variables describing the motion — first formulated by Langevin in 1908 — so making him inter alia the founder of the subject of stochastic differential equations, may be extended to solve the nonlinear problems arising from the Brownian motion in a potential. Such problems appear under various guises in many diverse applications in physics, chemistry, biology, electrical engineering, etc. However, they have been invariably treated (following the original approach of Einstein and Smoluchowski) via the Fokker-Planck equation for the evolution of the probability density function in phase space. Thus the more simple direct dynamical approach of Langevin which we use and extend here, has been virtually ignored as far as the Brownian motion in a potential is concerned. In addition two other considerations have driven us to write this new edition of The Langevin Equation. First, more than five years have elapsed since the publication of the third edition and following many suggestions and comments of our colleagues and other interested readers, it became increasingly evident to us that the book should be revised in order to give a better presentation of the contents. In particular, several chapters appearing in the third edition have been rewritten so as to provide a more direct appeal to the particular community involved and at the same time to emphasize via a synergetic approach how seemingly unrelated physical problems all involving random noise may be described using virtually identical mathematical methods. Secondly, in that period many new and exciting developments have occurred in the application of the Langevin equation to Brownian motion. Consequently, in order to accommodate all these, a very large amount of new material has been added so as to present a comprehensive overview of the subject.
£265.50
World Scientific Publishing Co Pte Ltd Principles Of Classical Thermodynamics: Applied
Book SynopsisThe aim of this book is to present Classical Thermodynamics in a unified way, from the most fundamental principles to non-uniform systems, thereby requiring the introduction of coarse graining methods, leading for instance to phase field methods. Solutions thermodynamics and temperature-concentration phase diagrams are covered, plus also a brief introduction to statistical thermodynamics and topological disorder. The Landau theory is included along with a general treatment of multicomponent instabilities in various types of thermodynamic applications, including phase separation and order-disorder transitions. Nucleation theory and spinodal decomposition are presented as extreme cases of a single approach involving the all-important role of fluctuations.In this way, it is hoped that this coverage will reconcile in a unified manner techniques generally presented separately in physics and materials texts.
£81.00
World Scientific Publishing Co Pte Ltd Langevin And Fokker-planck Equations And Their
Book SynopsisThis invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and Fokker-Planck equations (H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Springer, 1996)). Some topics and methods of solutions are presented and discussed in details which are not described in Risken's book, such as the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed.Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details.Recent research on the integro-differential Fokker-Planck equation derived from the continuous time random walk model shows that the topic has several aspects to be explored. This equation is worked analytically for the linear force and the generic waiting time probability distribution function. Moreover, generalized Klein-Kramers equations are also presented and discussed. They have the potential to be applied to natural systems, such as biological systems.
£85.50
World Scientific Publishing Co Pte Ltd Order, Disorder And Criticality - Advanced
Book SynopsisThis book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that are of current interest. The seven chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As the first four volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject.
£117.00
World Scientific Publishing Co Pte Ltd Statistical Foundations Of Entropy, The
This book presents an innovative unified approach to the statistical foundations of entropy and the fundamentals of equilibrium statistical mechanics. These intimately related subjects are often developed in a fragmented historical manner which obscures the essential simplicity of their logical structure. In contrast, this book critically reassesses and systematically reorganizes the basic concepts into a simpler sequential framework which reveals more clearly their logical relationships. The inherent indistinguishability of identical particles is emphasized, and the resulting unification of classical and quantum statistics is discussed in detail.The discussion is focused entirely on fundamental concepts, so applications are omitted. The book is written at the advanced undergraduate or beginning graduate level, and will be useful as a concise supplement to conventional books and courses in statistical mechanics, thermal physics, and thermodynamics. It is also suitable for self-study by those seeking a deeper and more detailed analysis of the fundamentals.
£63.00
World Scientific Publishing Co Pte Ltd Fractional Dynamics In Comb-like Structures
Book SynopsisRandom walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous transport in percolation clusters. Comb-like models have been widely adopted to describe kinetic processes in various experimental applications in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex types of random walks, such as non-Markovian continuous-time random walks. The simplicity of comb models allows to perform a rigorous analysis and to obtain exact analytical results for various types of random walks and reaction-transport processes.
£85.50
World Scientific Publishing Co Pte Ltd Monte Carlo Methods In Mechanics Of Fluid And Gas
Book SynopsisThis book is devoted to analysis of Monte Carlo methods developed in rarefied gas dynamics. Presented is the short history of the development of such methods, described are their main properties, their advantages and deficiencies. It is shown that the contemporary stage in the progress of computational methods cannot be regarded without a complex approach to the preparation of algorithms taking into account all the peculiarities of the problem under consideration, that is, of the physical nature of a process, the mathematical model and the theoretical aspects of computational mathematics and stochastic processes. Thoroughly investigated is the possibility of application of Monte Carlo methods in some kindred areas of science which are non-traditional for the use of statistical modeling (continuous media, turbulence). Considered are the possible directions of development of statistical modeling.Table of ContentsThe Main Equations and Approaches to Solution of the Problems in Rarefied Gas Dynamics; Development of the Numerical Methods of Solution of the Linear Kinetic Equations; Methods of Solution of the Nonlinear Problems in rarefied Gas Dynamics; Modeling of the Flows of Continuous Media; Solution of the Navier-Stokes Equations; Studies of the Weakly Perturbed Flows of Rarefied Gas; Study of the Flows about Different Bodies in Transitional Regime; Determination of the Aerodynamical Characteristics of the Returnable Cosmic Systems (RCS); Supersonic Flow about Blunted Bodies with Energy Addition; The General Models of Description of the Turbulent Flows; Studies as the Turbulent Flows of Fluid and Gas; The Possible Directions of Development of the Methods of Statistical Modeling of the Flows of Fluid and Gas.
£86.45
World Scientific Publishing Co Pte Ltd Basics Of Statistical Physics: A Bachelor Degree
Book SynopsisStatistics links microscopic and macroscopic phenomena, and requires for this reason a large number of microscopic elements like atoms. The results are values of maximum probability or of averaging. This introduction to statistical physics concentrates on the basic principles, and attempts to explain these in simple terms supplemented by numerous examples. The basic principles concentrated on are the difference between classical and quantum statistics, the a priori probabilities as related to degeneracies, the vital aspect of indistinguishability as compared with distinguishability in classical physics, the differences between conserved and nonconserved elements (the latter including photons and phonons), the different ways of counting arrangements in the three statistics (Maxwell-Boltzmann, Fermi-Dirac, Bose-Einstein), the difference between maximization of the number of arrangements of elements in these and averaging in the Darwin-Fowler method. Significant applications to solids, radiation and to electrons in metals are treated in separate chapters. Finally the Bose-Einstein distribution is rederived under condensation conditions. Each chapter concludes with examples and exercises.Table of ContentsStatistical Mechanics of an Ideal Gas (Maxwell); The a priori Probability; Classical Statistics (Maxwell-Boltzmann); Entropy; Quantum Statistics; Exact Form of Distribution Functions; Application to Radiation (Light Quanta); Debye Theory of Specific Heat of Solids; Electrons in Metals; Limitations of the Preceding Theory - Improvement with Ensemble Method; Averaging instead of Maximization, and Bose-Einstein Condensation.
£45.60
World Scientific Publishing Co Pte Ltd Basic Statistical Physics
Book SynopsisThis is a masters/graduate level textbook on statistical physics. The basics of the discipline and its application in the current topics of interest like Bose-Einstein condensate, statistical astrophysics and phase transitions have been discussed with thoroughness.This is a systematic introduction and development of a course material tried successful over a number of years. Feedback from the students tells that it has immensely helped them in their later research.Table of ContentsBasic Concepts; Motion of Systems in Phase Space; States in Statistical Physics; Statistical Ensembles; Ideal Gas; Chemical Reaction Equilibrium; Real Gas; Strong Electrolytes; Quantum Statistics; Bose-Einstein Condensate; Statistical Astrophysics; Phase Transitions; Irreversible Processes; Mathematical Appendix.
£53.20
World Scientific Publishing Co Pte Ltd Statistical Mechanics For Beginners: A Textbook
Book SynopsisThis textbook is for undergraduate students on a basic course in Statistical Mechanics. The prerequisite is thermodynamics. It begins with a study of three situations — the closed system and the systems in thermal contact with a reservoir — in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function. Through the presentation of quantum statistics, Bose statistics and Fermi-Dirac statistics are established, including as a special case the classical situation of Maxell-Boltzmann statistics. A series of examples ensue it: the harmonic oscillator, the polymer chain, the two level system, bosons (photons, phonons, and the Bose-Einstein condensation) and fermions (electrons in metals and in semiconductors). A compact historical note on influential scientists forms the concluding chapter.The unique presentation starts off with the principles, elucidating the well-developed theory, and only thereafter the application of theory. Calculations on the main steps are detailed, leaving behind minimal gap. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world.
£48.45
World Scientific Publishing Co Pte Ltd Statistical Mechanics For Beginners: A Textbook
Book SynopsisThis textbook is for undergraduate students on a basic course in Statistical Mechanics. The prerequisite is thermodynamics. It begins with a study of three situations — the closed system and the systems in thermal contact with a reservoir — in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function. Through the presentation of quantum statistics, Bose statistics and Fermi-Dirac statistics are established, including as a special case the classical situation of Maxell-Boltzmann statistics. A series of examples ensue it: the harmonic oscillator, the polymer chain, the two level system, bosons (photons, phonons, and the Bose-Einstein condensation) and fermions (electrons in metals and in semiconductors). A compact historical note on influential scientists forms the concluding chapter.The unique presentation starts off with the principles, elucidating the well-developed theory, and only thereafter the application of theory. Calculations on the main steps are detailed, leaving behind minimal gap. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world.
£29.45
World Scientific Publishing Co Pte Ltd Introduction To The Theory Of Critical Phenomena:
Book SynopsisThis book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.Table of ContentsClassical Theories of Phase Transitions:Basic Thermodynamics and Statistical Physics;Thermodynamic Approach to Phase Transitions;Landau Theory;Weiss Theory and Mean-Field Approximation;Phase Diagrams;Types of Phase Transitions and Critical Phenomena (Multicritical Points in Complex Systems);; Modern Theories:Scaling;Universality;Length-Scale Invariance and Renormalization Group Methods;Applications to Various Condensed Matter Systems (Vapor-Liquid-Solid, Magnets, Superconductors, Bose-Einstein Condensation);Anisotropy;Disorder and Quantum Effects;Quantum Critical Phenomena;Advanced Topics and Outstanding Problems;and other papers.;;
£112.50
World Scientific Publishing Co Pte Ltd Introduction To The Theory Of Critical Phenomena:
Book SynopsisThis book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.Table of ContentsClassical Theories of Phase Transitions:Basic Thermodynamics and Statistical Physics;Thermodynamic Approach to Phase Transitions;Landau Theory;Weiss Theory and Mean-Field Approximation;Phase Diagrams;Types of Phase Transitions and Critical Phenomena (Multicritical Points in Complex Systems);; Modern Theories:Scaling;Universality;Length-Scale Invariance and Renormalization Group Methods;Applications to Various Condensed Matter Systems (Vapor-Liquid-Solid, Magnets, Superconductors, Bose-Einstein Condensation);Anisotropy;Disorder and Quantum Effects;Quantum Critical Phenomena;Advanced Topics and Outstanding Problems;and other papers.;;
£65.55
World Scientific Publishing Co Pte Ltd New Trends In Statistical Physics: Festschrift In
Book SynopsisThis volume presents a collection of original and peer-reviewed articles related with the applications of Statistical Physics dedicated to Professor Dr Leopoldo García-Colín, in commemoration of his 80th birthday in 2010. Professor García-Colín has worked in many different fields of statistical physics, and has applied it to biological physics, solid state physics, relativity and cosmology. These are pioneering works of Prof García-Colín involved in all various fields which have their roots in Mexico. His influence is found in each of these works that cover a wide range of topics including thermodynamics, statistical mechanics and kinetic theory applied to biological systems, cosmology and condensed matter, among others.Papers contributed by important experts in the field, such as J Lebowitz, as well as the latest classical applications of statistical physics can be found in this volume.Table of ContentsStatistical Physics and Related Subjects; Statistical Physics and Biological Physics; Statistical Physics and Solid State Physics; Statistical Physics; Cosmology and Relativity;
£108.00
World Scientific Publishing Co Pte Ltd Polymer Viscoelasticity: Basics, Molecular
Book SynopsisThis book covers in great detail the Rouse-segment-based molecular theories in polymer viscoelasticity — the Rouse theory and the extended reptation theory (based on the framework of the Doi-Edwards theory) — that have been shown to explain experimental results in a consistently quantitative way. The explanation for the 3.4 power law of viscosity, quantitative line-shape analyses of viscoelastic responses and agreements between different sorts of viscoelastic responses, the consistency between the viscoelasticity and diffusion results, the clarification of the onset of entangelement, the discovery of the number of entanglement strands per cubed entanglement distance being a universal constant and the basic mechanism of the glass transition-related thermorheological complexity are discussed or shown in great detail. The mystery behind the success of the Rouse-segment-based molecular theories over the entropic region of a viscoelastic response is revealed by the Monte Carlo simulations on the Fraenkel chains. Specifically, the simulation studies give a natural explanation for the coexistence of the energy-driven and entropy-driven modes in a viscoelastic response and provide a theoretical basis resolving the paradox that the experimentally determined sizes of Rouse and Kuhn segments are nearly the same. This book starts from a very fundamental level; each chapter is built upon the contents of the previous chapters. Thus, the readers may use the book as a textbook and eventually reach an advanced research level. This book is also a useful source of reference for physicists, chemists and material scientists.
£126.00
World Scientific Publishing Co Pte Ltd Chaotic Pendulum, The
Book SynopsisPendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). Another type of chaotic motion (deterministic chaos) occurs in nonlinear systems with only few degrees of freedom. This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces. No preliminary knowledge, such as complex mathematical or numerical methods, is required from a reader other than undergraduate courses in mathematical physics. A wide group of researchers, along with students and teachers will, thus, benefit from this definitive book on nonlinear dynamics.Table of ContentsPendulum Equations; Applications; Phase Space; Poincare Sections; Lyapunov Exponents; Spectral Analysis; Transition to Chaos; Analytic Methods (Feigenbaum, Melnikov); Parametric Driving; Brownian Motion; Overdamped; Spring; Double and Spherical Pendula.
£67.45
World Scientific Publishing Co Pte Ltd Thermodynamics
Book SynopsisThis book is designed for use in an introductory course in thermodynamics. It is aimed at students of Physics, Chemistry, Materials Science, and Engineering. As an undergraduate text, it gives a clear description of the theoretical framework of thermodynamics, while providing specific examples of its use in a wide variety of problems. These examples include topics that are atypical of undergraduate texts, such as biological systems, atmospheric phenomena, and polymers.The narrative is infused with historical notes on the characters who make up the story of thermodynamics, enlivening the material while keeping the reader engaged.Table of ContentsScope of Thermodynamics; The Structure of Thermodynamics; The Laws of Thermodynamics; Intensive Variables; Simple Systems; Thermodynamic Potentials; Maxwell Relations; Engines, Hurricanes, and Athletes; Stability of Thermodynamic Systems; Phase Transitions; Summary of Useful Results and Final Remarks.
£45.60
World Scientific Publishing Co Pte Ltd Nonadiabatic Transition: Concepts, Basic Theories
Book SynopsisNonadiabatic transition is a highly multidisciplinary concept and phenomenon, constituting a fundamental mechanism of state and phase changes in various dynamical processes of physics, chemistry and biology, such as molecular dynamics, energy relaxation, chemical reaction, and electron and proton transfer. Control of molecular processes by laser fields is also an example of time-dependent nonadiabatic transition.In this new edition, the original chapters are updated to facilitate enhanced understanding of the concept and applications. Three new chapters — comprehension of nonadiabatic chemical dynamics, control of chemical dynamics, and manifestation of molecular functions — are also added.Table of ContentsIntroduction - What is Nonadiabatic TransitionA"?; Multidisciplinarity; Historical Survey of Theoretical Studies; Background Mathematics; Basic Two-State Theory for Time-Independent Processes; Basic Two-State Theory for Time-Dependent Processes; Two-State Problems; Effects of Coupling to Phonons and Quantum Devices; Multi-Channel Problems; Multi-Dimensional Problems; Complete Reflection and Bound States in the Continuum; New Mechanism of Molecular Switching; Control of Nonadiabatic Processes by an External Field; Comprehension of Nonadiabatic Chemical Dynamics; Control of Chemical Dynamics; Manifestation of Molecular Functions; Conclusions: Future Perspectives.
£148.50
World Scientific Publishing Co Pte Ltd Complex Plasmas And Colloidal Dispersions:
Book SynopsisMany fundamental issues in classical condensed matter physics can be addressed experimentally using systems of individually visible mesoscopic particles playing the role of “proxy atoms”. The interaction between such “atoms” is determined by the properties of the surrounding medium and/or by external tuning. The best-known examples of such experimental model systems are two different domains of soft matter — complex plasmas and colloidal dispersions.The major goal of this book — written by scientists representing both complex plasmas and colloidal dispersions — is to bring the two fields together. In the first part of the book the basic properties of the two systems are summarized, demonstrating huge conceptual and methodological overlap of the fields and emphasizing numerous cross-connections between them and their essential complementarity. This “introductory part” should serve to help each community in understanding the other field better. Simultaneously, this provides the necessary basis for the second part focused on particle-resolved studies of diverse generic phenomena in liquids and solids — all performed with complex plasmas and/or colloidal dispersions. The book is concluded with the discussion of critical open issues and fascinating perspectives of such interdisciplinary research.Table of ContentsInterdisciplinary Research: Scientific Background; Basic Properties of Complex Plasmas and Colloidal Dispersions: Charging, Interactions, Major Forces; Examples of Particle-Resolved Studies: Static Liquid Structure; Liquid-Solid Phase Transitions; Kinetics of Liquids; Hydrodynamics and Rheology at the Discreteness Limit; Nonequilibrium Phase Transitions; Binary Mixtures; Tunable Interactions; Anisotropic Particles.
£69.35
World Scientific Publishing Co Pte Ltd Langevin Equation, The: With Applications To
Book SynopsisThis volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation, to accommodate all the new developments, and to appeal to the specialized interests of the various communities involved, the book has been extensively rewritten and a very large amount of new material has been added. This has been done in order to present a comprehensive overview of the subject emphasizing via a synergetic approach that seemingly unrelated physical problems involving random noise may be described using virtually identical mathematical methods in the spirit of the founders of the subject, viz., Einstein, Langevin, Smoluchowski, Kramers, etc. The book has been written in such a way that all the material should be accessible both to an advanced researcher and a beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of scattered research papers and review articles.Table of ContentsHistorical Background and Introductory Concepts; Methods for Solving Langevin and Fokker-Planck Equations; Matrix Continued Fractions; Escape Rate Theory; Linear and Nonlinear Response Theory; Brownian Motion of a Free Particle and a Harmonic Oscillator; Rotational Brownian Motion about a Fixed Axis in a Periodic Potential; Brownian Motion in a Tilted Periodic Potential: Application to the Josephson Tunnelling Junction and Ring Lasers; Brownian Motion in a Double-Well Potential; Isotropic and Anisotropic Rotational Brownian Motion in Space in the Presence of an External Potential with Applications to Dielectric and Kerr Effect Relaxation in Fluids and Liquid Crystals; Brownian Motion of Classical Spins with Applications to Superparamagnetism; Magnetic Stochastic Resonance; Dynamic Hysteresis; Switching Field Surfaces; Inertial Langevin Equations with Applications to Orientational Relaxation in Liquids; Itinerant Oscillator Model; Anomalous Diffusion; Continuous Time Random Walks; Methods for the Solution of Fractional Fokker-Planck Equations.
£243.00
World Scientific Publishing Co Pte Ltd Introduction To Statistical Mechanics
Book SynopsisThe science of statistical mechanics is concerned with defining the thermodynamic properties of a macroscopic sample in terms of the properties of the microscopic systems of which it is composed. The aim of this book is to provide a clear, logical, and self-contained treatment of equilibrium statistical mechanics starting from Boltzmann's two statistical assumptions, and to present a wide variety of applications to diverse physical assemblies. The coverage is enhanced and extended through an extensive set of accessible problems. An appendix provides an introduction to non-equilibrium statistical mechanics through the Boltzmann equation and its extensions. The book assumes introductory courses in classical and quantum mechanics, as well as familiarity with multi-variable calculus and the essentials of complex analysis. Some knowledge of thermodynamics is assumed, although the book starts with an appropriate review of that topic. The targeted audience is first-year graduate students, and advanced undergraduates, in physics, chemistry, and the related physical sciences. The goal of this text is to help the reader obtain a clear working knowledge of the very useful and powerful methods of equilibrium statistical mechanics and to enhance the understanding and appreciation of the more advanced texts.Table of ContentsIntroduction; The Microcanonical Ensemble; Applications of the Microcanonical Ensemble; The Canonical Ensemble; Applications of the Canonical Ensemble; The Grand Canonical Ensemble; Applications of the Grand Canonical Ensemble; Special Topics; Problems.
£76.95
World Scientific Publishing Co Pte Ltd Introduction To Statistical Mechanics
Book SynopsisThe science of statistical mechanics is concerned with defining the thermodynamic properties of a macroscopic sample in terms of the properties of the microscopic systems of which it is composed. The aim of this book is to provide a clear, logical, and self-contained treatment of equilibrium statistical mechanics starting from Boltzmann's two statistical assumptions, and to present a wide variety of applications to diverse physical assemblies. The coverage is enhanced and extended through an extensive set of accessible problems. An appendix provides an introduction to non-equilibrium statistical mechanics through the Boltzmann equation and its extensions. The book assumes introductory courses in classical and quantum mechanics, as well as familiarity with multi-variable calculus and the essentials of complex analysis. Some knowledge of thermodynamics is assumed, although the book starts with an appropriate review of that topic. The targeted audience is first-year graduate students, and advanced undergraduates, in physics, chemistry, and the related physical sciences. The goal of this text is to help the reader obtain a clear working knowledge of the very useful and powerful methods of equilibrium statistical mechanics and to enhance the understanding and appreciation of the more advanced texts.Table of ContentsIntroduction; The Microcanonical Ensemble; Applications of the Microcanonical Ensemble; The Canonical Ensemble; Applications of the Canonical Ensemble; The Grand Canonical Ensemble; Applications of the Grand Canonical Ensemble; Special Topics; Problems.
£45.60
World Scientific Publishing Co Pte Ltd Introduction To Stochastic Processes And
Book SynopsisThis book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed.This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.Table of ContentsStochastic Processes and Noise Induced Phenomena; Elements of Dynamical Systems Theory and Bifurcations; Nonequilibrium Kinetics and Thermodynamics; Pattern Formation in Diffusion-Reaction Systems; Nonequilibrium Potential Techniques; Scaling Out-Of-Equilibrium and Surface Growth.
£69.35
Pan Stanford Publishing Pte Ltd Electrostatics of Soft and Disordered Matter
Book SynopsisRecently, there has been a surge of activity to elucidate the behavior of highly charged soft matter and Coulomb fluids in general. Such systems are ubiquitous, especially in biological matter where the length scale and the strength of the interaction between highly charged biomolecules are governed by strong electrostatic effects. Several interesting limits have been discovered in the parameter space of highly charged many-particle Coulomb matter where analytical progress is possible and completely novel and unexpected results have been obtained. One of the challenges in highly charged matter is to correctly describe systems with finite coupling strength in the transition regime between weak and strong couplings. After studying the fluctuations of both, several theories have been developed that describe this experimentally highly relevant regime. At the same time, computer simulation algorithms and computing power have advanced to the level where all-ion simulations, including many-body and polarization effects, are possible; the new theories thus can be subjected to numerical confirmation. Another important question is the effect of the structural disorder on electrostatic interactions. It has recently been demonstrated, both theoretically and experimentally, that charge disorder can impose long-range interaction between charged or even uncharged surfaces. These interactions might become very significant in biological processes. Filling a void in the literature, this volume cross-pollinates different theoretical and simulation approaches with new experiments and ties together the low temperature, high coupling constant, and disorder parameters in a unified description of the electrostatic interactions, which largely determine the stability and conformations of most important biological macromolecules.With striking graphical illustrations, the book presents a unified view of the current advances in the field of Coulomb (bio)colloidal systems, building on previous literature that summarized the field over 20 years ago. Leading scientists in the field offer a detailed introduction to different modern methods in statistical physics of Coulomb systems. They detail various approaches to elucidate the behavior of strongly charged soft matter. They also provide experimental and theoretical descriptions of disorder effects in Coulomb systems, which have not been discussed in any other book. Trade Review"This is a timely and illuminating volume, reviewing the state of the art of Coulombic fluids, and shedding some light on the counter-intuitive phenomena that emerge from Coulombic interactions. The book is in particular interesting because it reviews the fundamental role played by Coulombic interactions when macromolecules are dissolved in an aqueous milieu. An up-to-date introduction of the subject as well as advanced topics that will be welcome by students and researchers alike."Prof. David Andelman, Tel Aviv University, IsraelTable of ContentsSurprising Challenges. Dielectric Profiles and Ion-Specific Effects at Aqueous Interfaces. Coulomb interactions between Disordered Charge Distributions. Coarse-Grained Modeling of Charged Colloidal Suspensions: From Poisson-Boltzmann Theory to Effective Interactions. Dynamic Electric Response of Charged Fibrous Virus (fd) Suspensions: Interactions of Charged Colloidal Rods in AC Electric Fields. Many-Body Interactions in Volloidal Suspensions. Modeling DNA in Nanopores. Aspects of 1D Coulomb Gases. Hydration Repulsion between Polar Surfaces: An Atomistic Simulation Approach. Electrostatics in Electrolytes Expressed in an Exact Formalism Reminiscent of the Poisson-Boltzmann Picture. Interaction between Disordered Heterogeneous Charged Surfaces. Polarizable Surfaces: Weak and Strong Coupling Regimes. A Field Theory Approach for Modeling Electrostatic Interactions in Soft Matter. Legendre Transforms for Electrostatic Energies. Short-Range Disorder and Electrostatic Interactions in Macromolecules. Mean-Field Electrostatics of Still Rod-Like Ions. Extended Poisson–Boltzmann Descriptions of the Electrostatic Double Layer: Implications for Charged Particles at Interfaces. Modeling Electrokinetics through Varying Length and Time Scales. Physics of Counterion Mediated Attractions between Double-Stranded DNAs. Estimation of Solvation Electrostatic Free Energy of Biomolecular Systems by Numerical Solution of the Poisson-Boltzmann Equation. The Electrode-Ionic Liquid Interface: A Molecular Point of View. The Wigner Strong-Coupling Approach. Ionic Liquids and Ionic Liquid+Solvent Mixtures, Studied by Classical Density Functional Theory. Controlling the Fluid-Fluid Mixing-Demixing Phase Transition with Electric Fields. Statistical Thermodynamics of Supercapacitors and Blue Engines. Cluster Phases in Colloids and Proteins. Moderately Coupled Charged Fluids near Dielectric Interfaces and in Confinement.
£103.50
World Scientific Publishing Co Pte Ltd Noisy Oscillator, The: Random Mass, Frequency,
Book SynopsisThe properties of the harmonic oscillator with random frequency or/and random damping formed the content of the first edition. The second edition includes hundreds of publications on this subject since 2005. The noisy oscillator continues to be the subject of intensive studies in physics, chemistry, biology, and social sciences.The new and the latest type of a stochastic oscillator has also been considered, namely, an oscillator with random mass. Such model describes, among other phenomena, Brownian motion with adhesion, where the molecules of the surrounding medium not only randomly collide, but also stick to the Brownian particle for some (random) time, thereby changing its mass. This edition contains two new chapters, eight new sections and an expanded bibliography. A wide group of researchers, students and teachers will benefit from this book.Table of ContentsDeterministic and Random Oscillators; White and Color Noise; Brownian Motion; Overdamped Harmonic Oscillator with Additive Noise; Overdamped Harmonic Oscillator with Multiplicative Noise; Overdamped Single-Well Oscillator; Overdamped Double-Well Oscillator; Harmonic Oscillator with Additive Noise; Nonlinear Oscillator with Additive Noise; Harmonic Oscillator with Random Frequency; Harmonic Oscillator with Random Damping; Linear vs Quadratic Noise; Nonlinear Oscillator with Multiplicative Noise; Harmonic Oscillator with Random Mass; In the Future.
£36.10
World Scientific Publishing Co Pte Ltd Path Integrals For Stochastic Processes: An
Book SynopsisThis book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920's, corresponding to a sum over random trajectories, anticipating by two decades Feynman's famous work on the path integral representation of quantum mechanics. However, the true trigger for the application of these techniques within nonequilibrium statistical mechanics and stochastic processes was the work of Onsager and Machlup in the early 1950's. The last quarter of the 20th century has witnessed a growing interest in this technique and its application in several branches of research, even outside physics (for instance, in economy).The aim of this book is to offer a brief but complete presentation of the path integral approach to stochastic processes. It could be used as an advanced textbook for graduate students and even ambitious undergraduates in physics. It describes how to apply these techniques for both Markov and non-Markov processes. The path expansion (or semiclassical approximation) is discussed and adapted to the stochastic context. Also, some examples of nonlinear transformations and some applications are discussed, as well as examples of rather unusual applications. An extensive bibliography is included. The book is detailed enough to capture the interest of the curious reader, and complete enough to provide a solid background to explore the research literature and start exploiting the learned material in real situations. removeTable of ContentsStochastic Process; Path Integrals for Markov Process; Wiener Integral; Path Expansion Scheme; Space - Time Transformation; Non-Markov Process; Non-Gaussian Process; Nonlinear Noise Situations; Fractional Diffusive Processes; Feynman - Kac Formula; Diffusion in Shear Flows; Reaction - Diffusion Problems.
£61.75
World Scientific Publishing Co Pte Ltd Basics Of Statistical Physics
Book SynopsisStatistics links microscopic and macroscopic phenomena, and requires for this reason a large number of microscopic elements like atoms. The results are values of maximum probability or of averaging. This introduction to statistical physics concentrates on the basic principles, and attempts to explain these in simple terms supplemented by numerous examples. These basic principles include the difference between classical and quantum statistics, a priori probabilities as related to degeneracies, the vital aspect of indistinguishability as compared with distinguishability in classical physics, the differences between conserved and non-conserved elements, the different ways of counting arrangements in the three statistics (Maxwell-Boltzmann, Fermi-Dirac, Bose-Einstein), the difference between maximization of the number of arrangements of elements, and averaging in the Darwin-Fowler method. Significant applications to solids, radiation and electrons in metals are treated in separate chapters, as well as Bose-Einstein condensation. This revised second edition contains an additional chapter on the Boltzmann transport equation along with appropriate applications. Also, more examples have been added throughout, as well as further references to literature.Table of ContentsIntroduction; Statistical Mechanics of an Ideal Gas (Maxwell); The A Priori Probability; Classical Statistics (Maxwell - Boltzmann); Entropy; Quantum Statistics; Exact Form of Distribution Functions; Application to Radiation (Light Quanta); Debye Theory of Specific Heat of Solids; Electrons in Metals; Limitations of the Preceding Theory - Improvement with Ensemble Method; Averaging instead of Maximization, and Bose - Einstein Condensation; The Boltzmann Transport Equation.
£38.00
