Statistical physics Books
Springer Kinetic Theory of Gases and Plasmas 46 Fundamental Theories of Physics
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£170.99
Springer Cellular Automata and Cooperative Systems Proceedings of the NATO Advanced Study Institute Les Houches France June 22July 2 1992 396 Nato Science Series C
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£237.49
Springer Instabilities and Nonequilibrium Structures IV Workshop Proceedings 267 Mathematics and Its Applications
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£85.49
Springer Autosolitons A New Approach to Problems of SelfOrganization and Turbulence 61 Fundamental Theories of Physics
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£237.49
Springer Mathematical Foundations of Quantum Statistical Mechanics Continuous Systems 17 Mathematical Physics Studies
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£85.49
Springer Observation Prediction and Simulation of Phase Transitions in Complex Fluids Proceedings of the NATO Advanced Study Institute Varenna Italy July 25August 5 1994 460 Nato Science Series C
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£237.49
Springer Artificial Intelligence for Biology and Agriculture
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£123.49
Springer Cellular Automata and Complex Systems 3 Nonlinear Phenomena and Complex Systems
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£85.49
Springer Fully Chaotic Maps and Broken Time Symmetry 4 Nonlinear Phenomena and Complex Systems
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£85.49
Springer Diffuse Waves in Complex Media
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£136.85
Springer Dynamics Models and Kinetic Methods for Nonequilibrium Many Body Systems Proceedings of the NATO Advanced Study Institute Held in Leiden 27 July8 August 1998 NATO Science Series E 371
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£170.99
Springer Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows Fluid Mechanics and Its Applications 60
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£85.49
Springer New Theoretical Approaches to Strongly Correlated Systems Proceedings of the NATO Advanced Study Institute Cambridge 1020 April 1999 NATO Science Series II Mathematics Physics Chemistry 23
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£123.49
Springer Nature Switzerland AG String Field Theory: A Modern Introduction
Book SynopsisThis textbook provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main focus of the book is the construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, the author outlines the proofs of several important properties such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.Trade Review“The book under review offers a comprehensive self-contained description of string field theory (SFT) and the tools necessary to build it. … For each chapter the author has collected the most relevant references. This, together with various examples, figures, remarks and, especially, a suitable amount of details, has produced a compulsively readable textbook quite useful for students and newcomers. … The last version of the draft of the book can be accessed on the author's professional web page.” (Farhang Loran, Mathematical Reviews, April, 2022)Table of ContentsIntroduction.- Worldsheet path integral: vacuum amplitudes.- Worldsheet path integral: scattering amplitudes.- Worldsheet path integral: complex coordinates.- Conformal field theory in D dimensions.- Conformal field theory on the plane.- CFT systems.- BRST quantization.- String field.- Free BRST string field theory.- Introduction to off-shell string theory.- Geometry of moduli spaces and Riemann surfaces.- Off-shell amplitudes.-Amplitude factorization and Feynman diagrams.- Closed string field theory.- Background independence.- Superstring.- Momentum-space SFT.
£44.99
Springer Nature Switzerland AG Feedback Economics: Economic Modeling with System Dynamics
Book SynopsisThis book approaches economic problems from a systems thinking and feedback perspective. By introducing system dynamics methods (including qualitative and quantitative techniques) and computer simulation models, the respective contributions apply feedback analysis and dynamic simulation modeling to important local, national, and global economics issues and concerns. Topics covered include: an introduction to macro modeling using a system dynamics framework; a system dynamics translation of the Phillips machine; a re-examination of classical economic theories from a feedback perspective; analyses of important social, ecological, and resource issues; the development of a biophysical economics module for global modelling; contributions to monetary and financial economics; analyses of macroeconomic growth, income distribution and alternative theories of well-being; and a re-examination of scenario macro modeling.The contributions also examine the philosophical differences between the economics and system dynamics communities in an effort to bridge existing gaps and compare methods. Many models and other supporting information are provided as online supplementary files. Consequently, the book appeals to students and scholars in economics, as well as to practitioners and policy analysts interested in using systems thinking and system dynamics modeling to understand and improve economic systems around the world."Clearly, there is much space for more collaboration between the advocates of post-Keynesian economics and system dynamics! More generally, I would like to recommend this book to all scholars and practitioners interested in exploring the interface and synergies between economics, system dynamics, and feedback thinking." Comments in the Foreword by Marc Lavoie, Emeritus Professor, University of Ottawa and University of Sorbonne Paris NordTrade Review“This volume is a phenomenal achievement. It offers something to both the neophyte and the experienced SD researcher … . Weighing in at almost 600 pages, it is a wealth of information, and the bibliographies are extensive. The fact that the illustrations are full color is a tremendous help. If we are to make SD more widely acceptable, this is the sort of effort that is necessary. I hope it is widely read. I highly recommend this volume.” (John T. Harvey, System Dynamics Review, Vol. 37 (4), 2021)Table of ContentsChapter 1. Introduction to Feedback Economics.- Part I: Macroeconomics.- Chapter 2. Get Started with Macro Modeling.- Chapter 3. Equilibrium, Instability, Growth and Feedback in Economics.- Chapter 4. Accounting System Dynamics Modeling of Money Stock as Debts: Theory and Case Analysis of Japan.- Chapter 5. A System Dynamics Translation of the Phillips Machine.- Part II: Microeconomics.- Chapter 6. Economic Origins of the Sicilian Mafia: A Simulation Feedback Model.- Chapter 7. Comparison of System Dynamics Calibration and Econometric Estimation.- Chapter 8. Modeling the “Paradox of Redistribution”.- Part III: Resource Economics.- Chapter 9. Limits to Growth Concepts in Classical Economics.- Chapter 10. Development of a Biophysical Economics Module for the Global Integrated Assessment Model WORLD7.- Chapter 11. System Dynamics Modelling of Ecological-Economic Systems.- Chapter 12. Blessing or Burden? Another Look at the National Resource Curse.- Part IV: Policy Analysis.- Chapter 13. Policy Responses to Sovereign Debt Induced Banking Crises: A Model-Based Evaluation of Alternatives.- Chapter 14. Use of System Dynamics for Macro-Financial Scenario Assessment: Debt and Currency Crises in Russia.- Chapter 15. Economic Impact Assessment of Raw Material Efficiency.- Chapter 16. Insights on Profit Sharing and Jobs Creation in Bi-dimensional Goodwinian Models.- Part V: Variations and Reflections.- Chapter 17. Behavioral Expectation Formation and the Knife Edge: Another Look at Harrod.- Chapter 18. Burying Samuelson’s Multiplier-Accelerator and resurrecting Goodwin’s Growth Cycle in Minsky.- Chapter 19. Extending the Boundaries of Feedback Economics to Well-Being: An Interlinked Thinking Approach.- Chapter 20: A System Dynamics Scenario Model of the New Zealand Economy: Review and Reflections after 25 Years
£97.49
Springer Statistical Mechanics
Book SynopsisThermodynamical Formalism.- Equilibrium Ensembles.- NonInteracting Quantum Systems.- Phase Transitions and Lattice Systems.- Approximate Methods and Landau Theory.- Linear Response Theory Brownian Motion.- Frustrated and Quenched Systems.
£66.49
Springer Navigating Molecular Networks
Book SynopsisMolecular Networks.- Transformations of Chemical Space.- Spectral Graph Theory.- Universality and Random Matrix Theory.- Mapping and Navigating Chemical Space Networks.- Generative AI Growing the Network.- Discovery and Creativity.
£44.99
Taylor & Francis Inc College Physics Essentials Eighth Edition
Book Synopsis
£230.00
Taylor & Francis Ltd College Physics Essentials Eighth Edition
Book SynopsisThis new edition of College Physics Essentials provides a streamlined update of a major textbook for algebra-based physics. This is the second volume covers electricity, atomic, nuclear, and quantum physics. The first volume is available separately and covers topics such as mechanics, heat, and thermodynamics. The authors provide emphasis on worked examples together with expanded problem sets that build from conceptual understanding to numerical solutions and real-world applications to increase reader engagement. Including over 900 images throughout the two volumes, this textbook is highly recommended for students seeking a basic understanding of key physics concepts and how to apply them to real problems. Table of Contents15. Electric Charge, Forces, and Fields. 16. Electrical Potential, Energy, and Capacitance. 17. Electric Current and Resistance. 18. Basic Electric Circuits. 19. Magnetism. 20. Electromagnetic Induction and Waves. 21. AC Circuits. 22. Reflection and Refraction of Light. 23. Mirrors and Lenses. 24. Physical Optics: The Wave Nature of Light. 25. Vision and Optical Instruments. 26. Relativity. 27. Quantum Physics. 28. Quantum Mechanics and Atomic Physics. 29. The Nucleus. 30. Nuclear Reactions and Elementary Particles.
£120.00
Springer Fachmedien Wiesbaden Grundkurs Theoretische Physik 6: Statistische
Book SynopsisDer Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.Table of ContentsKlassische statistische Physik.- Quantenstatistik.- Quantengase.- Phasenübergänge.- Lösungen der Übungsaufgaben.
£47.49
Springer Verlag, Singapore Deep Learning and Physics
Book SynopsisWhat is deep learning for those who study physics? Is it completely different from physics? Or is it similar? In recent years, machine learning, including deep learning, has begun to be used in various physics studies. Why is that? Is knowing physics useful in machine learning? Conversely, is knowing machine learning useful in physics? This book is devoted to answers of these questions. Starting with basic ideas of physics, neural networks are derived naturally. And you can learn the concepts of deep learning through the words of physics.In fact, the foundation of machine learning can be attributed to physical concepts. Hamiltonians that determine physical systems characterize various machine learning structures. Statistical physics given by Hamiltonians defines machine learning by neural networks. Furthermore, solving inverse problems in physics through machine learning and generalization essentially provides progress and even revolutions in physics. For these reasons, in recent years interdisciplinary research in machine learning and physics has been expanding dramatically. This book is written for anyone who wants to learn, understand, and apply the relationship between deep learning/machine learning and physics. All that is needed to read this book are the basic concepts in physics: energy and Hamiltonians. The concepts of statistical mechanics and the bracket notation of quantum mechanics, which are explained in columns, are used to explain deep learning frameworks.We encourage you to explore this new active field of machine learning and physics, with this book as a map of the continent to be explored.Trade Review“The book has the feel of a graduate thesis. It could be quite useful to a researcher investigating the relationship between ANNs and dynamical physical systems.” (Anoop Malaviya, Computing Reviews, February 16, 2023)Table of ContentsChapter 1: Forewords: Machine learning and physics.- Part I Physical view of deep learning.- Chapter 2: Introduction to machine learning.- Chapter 3: Basics of neural networks.- Chapter 4: Advanced neural networks.- Chapter 5: Sampling.- Chapter 6: Unsupervised deep learning.- Part II Applications to physics.- Chapter 7: Inverse problems in physics.- Chapter 8: Detection of phase transition by machines.- Chapter 9: Dynamical systems and neural networks.- Chapter 10: Spinglass and neural networks.- Chapter 11: Quantum manybody systems, tensor networks and neural networks.- Chapter 12: Application to superstring theory.- Chapter 13: Epilogue.- Bibliography.- Index.
£62.99
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.
£109.25
John Wiley & Sons Inc Ordering and Phase Transitions in Charged
Book Synopsis* Physical chemists will find this book comprehensive. Topical reviews on all aspects of colloidal ordering and related phase transitions will be covered. It provides a good blend of experimental and theoretical investigations. * Useful to materials scientists and chemical engineers, the book includes a discussion of stability, important from the point of view of applications of colloidal crystals. * Physicists will be interested in the book, because it highlights the controversy over effective interparticle interaction in charged colloids.Table of ContentsFrom the Contents: Interaction, Ordering and Phase Transitions in Charged Colloids: An Introduction/ Video-Microscopic and X-Ray Scattering Studies of Colloidal Dispersions/ Direct Imaging of the Local Dynamics of Colloidal Phase Transitions/ Kinetics of Colloidal Crystallization/ Kossel-Line Analysis for Colloidal Crystal Growth/ Photothermal Stability of Colloidal Crystals/ Order-Disorder Transition in Charged Polydisperse Colloids/ Vapor-Liquid Condensation and Reentrant Transition in Charged Colloids/ Theory of Interactions in Charged Colloids/ Liquid-Solid Transition in Colloidal Suspensions with and without External Emodulations: Density Functional Theory/ Dynamics of Charged Colloidal Suspensions Across the Freezing and Glass Transition/ Determination of Interaction Forces in Colloids: Direct and Indirect Methods.
£305.96
John Wiley & Sons Inc Modes of Parametric Statistical Inference
Book SynopsisA fascinating investigation into the foundations of statistical inference This publication examines the distinct philosophical foundations of different statistical modes of parametric inference.Trade Review"…a terrific resource for students preparing for comprehensive exams and wanting to expand their understanding of statistical inference." (Biometrics, September 2007)Table of ContentsForeword. Preface. 1. A Forerunner. 2. Frequentist Analysis. 3. Likelihood. 4. Testing Hypotheses. 5. Unbiased and Invariant Tests. 6. Elements of Bayesianism. 7. Theories of Estimation. 8. Set and Interval Estimation. References. Index.
£110.66
John Wiley & Sons Inc Thermodynamics and an Introduction to
Book SynopsisThe only text to cover both thermodynamic and statistical mechanics----allowing students to fully master thermodynamics at the macroscopic level. Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms.Table of ContentsGENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work Theorem. Alternative Formulations and Legendre Transformations. The Extremum Principle in the Legendre Transformed Representations. Maxwell Relations. Stability of Thermodynamic Systems. First-Order Phase Transitions. Critical Phenomena. The Nernst Postulate. Summary of Principles for General Systems. Properties of Materials. Irreversible Thermodynamics. STATISTICAL MECHANICS. Statistical Mechanics in the Entropy Representation: The Microanonical Formalism. The Canonical Formalism; Statistical Mechanics in Helmholtz Representation. Entropy and Disorder; Generalized Canonical Formulations. Quantum Fluids. Fluctuations. Variational Properties, Perturbation Expansions, and Mean Field Theory. FOUNDATIONS. Postlude: Symmetry and the Conceptual Foundations of Thermostatistics. Appendices. General References. Index.
£205.16
Springer-Verlag New York Inc. Ergodic Theory
Book SynopsisThis volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems.Table of ContentsIntroduction to Ergodic Theory Ergodic Theory: Basic Examples and Constructions Ergodicity and Mixing Properties Ergodic Theory: Recurrence Ergodic Theorems Spectral Theory of Dynamical Systems Joinings in Ergodic Theory Entropy in Ergodic Theory Isomorphism Theory in Ergodic Theory Dynamical Systems of Probabilistic Origin: Gaussian and Poisson Systems Ergodic Theory: Non-singular Transformations Sarnak’s Conjecture from the Ergodic Theory Point of View Smooth Ergodic Theory Ergodic and spectral theory of area-preserving flows on surfaces Pressure and Equilibrium States in Ergodic Theory Parallels Between Topological Dynamics and Ergodic Theory Symbolic Dynamics Operator ergodic theory Dynamical Systems and C-algebras The complexity and the structure and classification of Dynamical Systems Ergodic Theory: Interactions with Combinatorics and Number Theory Ergodic Theory on Homogeneous Spaces and Metric Number Theory Ergodic Theory: Rigidity Chaos and Ergodic Theory Ergodic Theory: Fractal Geometry
£224.99
Springer Nature Switzerland AG Spatial Networks: A Complete Introduction: From
Book SynopsisThis book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks.The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology.This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.Trade Review“This book, written by a statistical physicist, has the style of a survey rather than a mathematics textbook. It outlines numerous results (around 500 papers are cited) via descriptions of statistics and models and back-of-envelope calculations and simulation results together with real-world data examples. It is fairly technically undemanding, meaning mostly accessible to an advanced undergraduate mathematics student. … This book succeeds admirably in its stated ‘complete Introduction’ goal … .” (David J. Aldous, Mathematical Reviews, October, 2022)Table of Contents0. IntroductionI. Characterization 1. Planar graphs 2. Simple measures 3. Betweenness centrality 4. Simplicity and Entropy 5. The shape of shortest paths 6. Spatial dominance 7. Typology of spatial networks 8. Time evolution of spatial networksII. Models 1. Spatial random graphs 2. Tesselations of the plane 3. Random geometric graphs 4. beta-skeletons 5. Loops and branches 6. Optimal networks 7. Growing networks 8. Greedy models 9. Transitions in spatial networks 10. Multilayer networksIII. Discussion and perspectives
£54.99
Springer International Publishing AG Thermal and Statistical Physics: Concepts and
Book SynopsisThis textbook presents the fundamental concepts and theories in thermal physics and elementary statistical mechanics in a very simple, systematic and comprehensive way. This book is written in a way that it presents the topics in a holistic manner with end-of-chapter exercises and examples where concepts are supported by numerous solved examples and multiple-choice questions to aid self-learning. The textbook also contains illustrated diagrams for better understanding of the concepts. The book will benefit students who are taking introductory courses in thermal physics, thermodynamics and statistical mechanics.Table of ContentsIntroduction.- The Laws of Thermodynamics.- Second Law of Thermodynamics.- Entropy.- Thermodynamic Potentials and Maxwell Relations.- Kinetic Theory of Gases.- Real Gases.- Applications to Some Irreversible Changes, Cooling of Real Gases.- Theory of Radiation.- Elementary Statistical Mechanics.
£42.74
Springer International Publishing AG Statistical Methods for Data Analysis: With
Book SynopsisThis third edition expands on the original material. Large portions of the text have been reviewed and clarified. More emphasis is devoted to machine learning including more modern concepts and examples. This book provides the reader with the main concepts and tools needed to perform statistical analyses of experimental data, in particular in the field of high-energy physics (HEP).It starts with an introduction to probability theory and basic statistics, mainly intended as a refresher from readers’ advanced undergraduate studies, but also to help them clearly distinguish between the Frequentist and Bayesian approaches and interpretations in subsequent applications. Following, the author discusses Monte Carlo methods with emphasis on techniques like Markov Chain Monte Carlo, and the combination of measurements, introducing the best linear unbiased estimator. More advanced concepts and applications are gradually presented, including unfolding and regularization procedures, culminating in the chapter devoted to discoveries and upper limits.The reader learns through many applications in HEP where the hypothesis testing plays a major role and calculations of look-elsewhere effect are also presented. Many worked-out examples help newcomers to the field and graduate students alike understand the pitfalls involved in applying theoretical concepts to actual data.Trade Review“The book is important because, as AI and data science continue to shape the future, much interdisciplinary work is being done in many different domains. It is a very good example of interdisciplinary physics research using AI and data science. ... Graduate students are often expected to apply theoretical knowledge. This book will be an invaluable resource for them, to jumpstart their research by getting equipped with the right statistical and data analysis toolsets.” (Gulustan Dogan, Computing Reviews, August 8, 2023)Table of ContentsPreface to the third edition Preface to previous edition/s 1 Probability Theory 1.1 Why Probability Matters to a Physicist 1.2 The Concept of Probability 1.3 Repeatable and Non-Repeatable Cases 1.4 Different Approaches to Probability 1.5 Classical Probability 1.6 Generalization to the Continuum 1.7 Axiomatic Probability Definition 1.8 Probability Distributions 1.9 Conditional Probability 1.10 Independent Events 1.11 Law of Total Probability 1.12 Statistical Indicators: Average, Variance and Covariance 1.13 Statistical Indicators for a Finite Sample 1.14 Transformations of Variables 1.15 The Law of Large Numbers 1.16 Frequentist Definition of Probability References 2 Discrete Probability Distributions 2.1 The Bernoulli Distribution 2.2 The Binomial Distribution 2.3 The Multinomial Distribution 2.4 The Poisson Distribution References 3 Probability Distribution Functions 3.1 Introduction 3.2 Definition of Probability Distribution Function 3.3 Average and Variance in the Continuous Case 3.4 Mode, Median, Quantiles 3.5 Cumulative Distribution 3.6 Continuous Transformations of Variables 3.7 Uniform Distribution 3.8 Gaussian Distribution 3.9 X^2 Distribution 3.10 Log Normal Distribution 3.11 Exponential Distribution3.12 Other Distributions Useful in Physics 3.13 Central Limit Theorem 3.14 Probability Distribution Functions in More than One Dimension 3.15 Gaussian Distributions in Two or More Dimensions References 4 Bayesian Approach to Probability 4.1 Introduction 4.2 Bayes’ Theorem 4.3 Bayesian Probability Definition 4.4 Bayesian Probability and Likelihood Functions 4.5 Bayesian Inference 4.6 Bayes Factors 4.7 Subjectiveness and Prior Choice 4.8 Jeffreys’ Prior 4.9 Reference priors 4.10 Improper Priors 4.11 Transformations of Variables and Error Propagation References 5 Random Numbers and Monte Carlo Methods 5.1 Pseudorandom Numbers 5.2 Pseudorandom Generators Properties 5.3 Uniform Random Number Generators 5.4 Discrete Random Number Generators 5.5 Nonuniform Random Number Generators 5.6 Monte Carlo Sampling 5.7 Numerical Integration with Monte Carlo Methods 5.8 Markov Chain Monte Carlo References 6 Parameter Estimate 6.1 Introduction 6.2 Inference 6.3 Parameters of Interest 6.4 Nuisance Parameters 6.5 Measurements and Their Uncertainties 6.6 Frequentist vs Bayesian Inference 6.7 Estimators 6.8 Properties of Estimators 6.9 Binomial Distribution for Efficiency Estimate 6.10 Maximum Likelihood Method 6.11 Errors with the Maximum Likelihood Method 6.12 Minimum X^2 and Least-Squares Methods 6.13 Binned Data Samples 6.14 Error Propagation 6.15 Treatment of Asymmetric Errors References7 Combining Measurements7.1 Introduction7.2 Simultaneous Fits and Control Regions7.3 Weighted Average7.4 X^2 in n Dimensions7.5 The Best Linear Unbiased EstimatorReferences 8 Confidence Intervals8.1 Introduction8.2 Neyman Confidence Intervals8.3 Binomial Intervals8.4 The Flip-Flopping Problem8.5 The Unified Feldman–Cousins ApproachReferences 9 Convolution and Unfolding9.1 Introduction9.2 Convolution9.3 Unfolding by Inversion of the Response Matrix9.4 Bin-by-Bin Correction Factors9.5 Regularized Unfolding9.6 Iterative Unfolding9.7 Other Unfolding Methods9.8 Software Implementations9.9 Unfolding in More DimensionsReferences10 Hypothesis Tests10.1 Introduction10.2 Test Statistic10.3 Type I and Type II Errors10.4 Fisher’s Linear Discriminant10.5 The Neyman–Pearson Lemma10.6 Projective Likelihood Ratio Discriminant10.7 Kolmogorov–Smirnov Test10.8 Wilks’ Theorem10.9 Likelihood Ratio in the Search for a New SignalReferences 11 Machine Learning11.1 Supervised and Unsupervised Learning11.2 Terminology11.3 Machine Learning Classification from a Statistical Point of View11.4 Bias-Variance tradeo11.5 Overtraining11.6 Artificial Neural Networks 11.7 Deep Learning11.8 Convolutional Neural Networks11.9 Boosted Decision Trees11.10 Multivariate Analysis ImplementationsReferences 12 Discoveries and Upper Limits12.1 Searches for New Phenomena: Discovery and Upper Limits12.2 Claiming a Discovery12.3 Excluding a Signal Hypothesis12.4 Combined Measurements and Likelihood Ratio12.5 Definitions of Upper Limit12.6 Bayesian Approach12.7 Frequentist Upper Limits12.8 Modified Frequentist Approach: the CLs Method12.9 Presenting Upper Limits: the Brazil Plot12.10 Nuisance Parameters and Systematic Uncertainties12.11 Upper Limits Using the Profile Likelihood12.12 Variations of the Profile-Likelihood Test Statistic12.13 The Look Elsewhere EffectReferences Index
£55.96
Springer Percolation Theory Using Python
Book SynopsisIntroduction to Percolation.- One-dimensional Percolation.- Infinite-dimensional Percolation.- Finite-dimensional Percolation.- Geometry of Clusters.- Finite Size Scaling.- Renormalization.- Subset Geometry.- Flow in Disordered Media.- Elastic Properties of Disordered Media.- Diffusion in Disordered Media.- Dynamic Processes in Disordered Media.- References.- Index.
£33.24
Springer Fachmedien Wiesbaden Teubner-Taschenbuch der statistischen Physik
Book SynopsisAus moderner Sicht werden in diesem Teubner-Taschenbuch die Grundlagen und wichtige Anwendungen der statistischen Physik dargestellt. Auf eine gründliche Darstellung der Begriffsbildungen der statistischen Physik, auf die korrekte Herleitung grundlegender Gleichungen und auf die Durchführung wichtiger Beweise wird besonderer Wert gelegt. Das Buch eignet sich als Begleittext für Kurs- und Spezialvorlesungen, als Repetitorium zur Prüfungsvorbereitung und als Nachschlagewerk zur raschen Information für breite Leserkreise aus Mathematik, Naturwissenschaften und technischen Disziplinen, insbesondere für Studenten dieser Fachrichtungen.Table of ContentsKombinatorik - Wahrscheinlichkeitstheorie - Quantenmechanik und Wahrscheinlichkeit - Thermodynamik - Statistische Physik der Gleichgewichtssysteme - Statistische Physik der Systeme im Nichtgleichgewicht - Statistische Physik und Informationstheorie - Phasenraummethoden der Quantenstatistik - Fraktaltheorie und Perkolationstheorie - Theorie dynamischer Systeme, Chaostheorie, Ergodentheorie - Statistische Thermodynamik chemischer Systeme - Statistische Theorie biologischer Systeme - Synergetik, weitere Anwendungen der statistischen Physik
£49.49
Springer Verlag Note di fisica statistica
Book SynopsisIl testo si configura come un' introduzione alla fisica statistica rivolto in primo luogo a quei corsi di studio in ingegneria che più hanno a che fare con le proprietà fisiche dei materiali, ed ha lo scopo di fornire le basi microscopiche del comportamento termodinamico di cui si fa uso sia in molti corsi tradizionali, quali quelli di termofluidica d'interesse per l'ingegneria chimica e nucleare, che in corsi rivolti ad applicazioni avanzate nella scienza dei materiali e nelle nanotecnologie. Particolare attenzione viene quindi dedicata all'impiego di metodi di fisica statistica nella scienza dei materiali, approfondendo tematiche relative alle vibrazioni nei solidi, ai processi di nucleazione liquido/vapore, alla struttura dello stato fluido e vetroso, ai plasmi, ai materiali magnetici, al gas di Fermi e alla superfluidità. Per il suo carattere generale, e per l'accento posto sui fondamenti della meccanica quantistica, il volume si presta comunque a costituire anche un testo introduttivo alla meccanica statistica per studenti dei corsi di laurea in fisica.Trade ReviewFrom the reviews:“The book covers the main typical arguments of a course on statistical physics and thermodynamics in the Italian university system. … the author intends to transmit to the readers: the subject of statistical physics is not only useful, but is also far to be boring and can reveal an intrinsic beauty. Also, the style of writing the different chapters reveals the intention of the author to give a pleasant environment for the study of the subject.” (Francesco Salvarani, Zentralblatt MATH, Vol. 1241, 2012)
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New India Publishing Agency Inferential Statistics
Book Synopsis
£150.10
Springer Statistical Physics for Biological Matter
Book SynopsisThis book aims to cover a broad range of topics in statistical physics, including statistical mechanics (equilibrium and non-equilibrium), soft matter and fluid physics, for applications to biological phenomena at both cellular and macromolecular levels. It is intended to be a graduate level textbook, but can also be addressed to the interested senior level undergraduate. The book is written also for those involved in research on biological systems or soft matter based on physics, particularly on statistical physics.Typical statistical physics courses cover ideal gases (classical and quantum) and interacting units of simple structures. In contrast, even simple biological fluids are solutions of macromolecules, the structures of which are very complex. The goal of this book to fill this wide gap by providing appropriate content as well as by explaining the theoretical method that typifies good modeling, namely, the method of coarse-grained descriptions that extract the most salient features emerging at mesoscopic scales. The major topics covered in this book include thermodynamics, equilibrium statistical mechanics, soft matter physics of polymers and membranes, non-equilibrium statistical physics covering stochastic processes, transport phenomena and hydrodynamics. Generic methods and theories are described with detailed derivations, followed by applications and examples in biology. The book aims to help the readers build, systematically and coherently through basic principles, their own understanding of nonspecific concepts and theoretical methods, which they may be able to apply to a broader class of biological problems.Table of Contents1. Introduction : Biological Systems, and Physical ApproachesBring Physics to Life, Bring Life to Physics. Part A: Equilibrium Structures and Properties. 2. Basic Concepts of Relevant Thermodynamics. 2.1 The First Law and Thermodynamic Potentials. 2.2 The Second Law and Thermodynamic Variational Principles. 3. Basic Methods of Equilibrium Statistical Physics. 3.1 Boltzmann’s Entropy and Probability, Microcanonical Ensemble Theory. 3.2 Canonical Ensemble Theory. 3.3 The Gibbs Canonical Ensemble. 3.4 Grand Canonical Ensemble Theory. 4. Statistical Mechanics of Fluids and Solutions. 4.1 Phase-space Description of Fluids. 4.2 Fluids of Non-interacting Particles. 4.3 Fluids of Interacting Particles. 4.4 Extension to Solutions: Coarse-grained Descriptions. 5. The Coarse-grained Descriptions for Biological Complexes. 6. Water and Weak Electrostatic Interactions. 6.1 Thermodynamic Properties of Water. 6.2 The Interactions in Water. 6.3 Screened Coulomb Interaction. 7. Law of Chemical Forces: Transitions, Reactions and Self-assembly. 7.1 Law of Mass Action (LMA). 7.2 Self-Assembly. 8. Lattice and Ising Models. 8.1 Adsorption and Aggregation of Molecules. 8.2 Binary Mixtures. 8.3 1-D Ising Model and Applications. 9. Response, Fluctuations, Correlations, and Scatterings. 9.1 Linear Responses and Fluctuations: Fluctuation-Response Theorem. 9.2 Scatterings, Fluctuations, and Structures of Matter. 10. Mesoscopic model for Polymers: Flexible Chains. 10.1 Random Walk Model for a Flexible Chain. 10.2 A Flexible Chain under External Fields and Confinements. 10.3 Effects of Segmental Interactions. 10.4 Scaling Theory. 11. Mesoscopic model for Polymers: Semi-flexible Chain Model and Polyelectrolytes. 11.1 Worm-like chain model. 11.2 Fluctuations in nearly straight semi-flexible chains and the force-extension relation. 11.3 Polyelecrolytes. 12. Membranes and Elastic Surfaces. 12.1 Membrane Self-assembly and Transition. 12.2 Mesoscopic Model for Elastic Energies and Shapes. 12.3 Effects of Thermal Undulations. Part B: Non-equilibrium Phenomena. 13.Brownian Motions. 13.1 Brownian Motion/Diffusion Equation Theory. 13.2 Diffusive Transport in Cells. 13.3 Brownian Motion/Langevin Equation Theory. 14. Stochastic Processes, Markov Chains and Master Equations. 14.1 Markov Processes. 14.2 Master Equation. 15. Theory of Markov Processes & The Fokker-Planck Equations. 15.1 Fokker-Planck Equation (FPE). 15.2 The Langevin and Fokker-Planck Equations from Phenomenology and Effective Hamiltonian. 15.3 Solutions of Fokker-Planck Equations, Transition Probabilities and Correlation Functions. 16. The Mean-First Passage Times and Barrier Crossing Rates. 16.1 First Passage Time and Applications. 16.2 Rate Theory: Flux-over Population Method. 17. Dynamic Linear Responses and Time Correlation Functions. 17.1 Time-dependent Linear Response Theory. 17.2 Applications of the Fluctuation–dissipation Theorem. 18. Noise-induced Resonances: Stochastic Resonance and Resonant Activation, and Stochastic Ratchet. 18.1 Stochastic Resonance. 18.2 Resonant Activation (RA) and Stochastic Ratchet. 18.3 Stochastic ratchet. 19. Transport Phenomena and Fluid Dynamics. 19.1 Hydrodynamic Transport Equations. 19.2 Dynamics of Viscous Flow. 20. Dynamics of Polymers and Membranes in Fluids. 20.1 Dynamics of Flexible Polymers. 20.2 Dynamics of a Semiflexible Chain. 20.3 Dynamics of Membrane Undulation. 20.4 A Unified View. 21. Epilogue.
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Springer Verlag, Singapore An Introduction to Stochastic Thermodynamics: From Basic to Advanced
Book SynopsisThis book presents the fundamentals of stochastic thermodynamics, one of the most central subjects in non-equilibrium statistical mechanics. It also explores many recent advances, e.g., in information thermodynamics, the thermodynamic uncertainty relation, and the trade-off relation between efficiency and power. The content is divided into three main parts, the first of which introduces readers to fundamental topics in stochastic thermodynamics, e.g., the basics of stochastic processes, the fluctuation theorem and its variants, information thermodynamics, and large deviation theory. In turn, parts two and three explore advanced topics such as autonomous engines (engines not controlled externally) and finite speed engines, while also explaining the key concepts from recent stochastic thermodynamics theory that are involved. To fully benefit from the book, readers only need an undergraduate-level background in statistical mechanics and quantum mechanics; no background in information theory or stochastic processes is needed. Accordingly, the book offers a valuable resource for early graduate or higher-level readers who are unfamiliar with this subject but want to keep up with the cutting-edge research in this field. In addition, the author’s vivid descriptions interspersed throughout the book will help readers grasp ‘living’ research developments and begin their own research in this field.Table of Contents
£98.99
Oxford University Press (UK) Theory of Itinerant Electron Magnetism International Series of Monographs on Physics 106
Book SynopsisThis book is an application of quantum and statistical mechanics to the field of magnetism. The microscopic theory of many electron systems is presented in detail. Emphasis is given on how to solve the equations numerically with the use of computer programmes and how to apply them to problems arising in mechanical engineering or material sciences.Trade ReviewTheory of Itinerant Electron Magnetism by Jurgen Kubler is a unique contribution to the study of magnetism, in that it attempts to describe a substantial part of the field using the local density functional approximation (LDA). The author concentrates on itinerant electron systems and emphasizes the importance of the electronic structure to the understanding of magnetic properties of realistic materials. Furthermore, Kubler cautions the reader that LDA does not correspond to the independent-particle picture; he advocates the extensive use of computers to solve the many-electron problem within LDA. However, he makes it very clear that LDA programs running on even the most efficient computers are not the answer to all magnetism questions, particularly those dealing with strongly correlated electron systems, for which no controlled general theory truly exists[...] This book will be useful to many researchers, theorists, and experimentalists alike. * Physics Today *Table of Contents1 INTRODUCTION; 2 DERIVATION OF THE SINGLE-PARTICLE SCHRODINGER EQUATION: DENSITY AND SPIN-DENSITY-FUNCTIONAL THEORY; 3 ENERGY BAND THEORY; 4 ELECTRONIC STRUCTURE AND ITINERANT ELECTRON MAGNETISM; 5 MAGNETISM OF ITINERANT ELECTRON SYSTEMS AT FINITE TEMPERATURES; APPENDIX: THE ASW PROGRAMME; BIBLIOGRAPHY
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Oxford University Press Quantum Mechanics
Book SynopsisThis book provides the reader with a contemporary and comprehensive introduction to Quantum Mechanics. It is suitable for beginners as well as for more advanced university students. Quantum mechanics is presented in a pedagogical fashion, with a clear logical organization. The various concepts and methods are introduced first in elementary terms, and later developed into more precise formulations. Systematic studies of approximation methods and the discussion of a wide class of physical applications follow.Part I of the book, together with the opening sections of Part II, provide adequate material for an introductory course of one semester at most universities. The rest of the book might be used in an advanced course on Quantum Mechanics. The basic material is fairly standard, even though some discussions such as those on general systems with time-dependent Hamiltonians, on metastable systems, as well as the discussions in some of the Complement sections, may not be found in other textTable of ContentsI; II; III; IV; V
£110.00
Taylor & Francis Ltd Thermodynamics of the Glassy State
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Taylor & Francis Ltd The Nature of Time
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Taylor & Francis Ltd Feynman Path Integrals in Quantum Mechanics and Statistical Physics
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Taylor & Francis Ltd Nonequilibrium Statistical Mechanics
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Taylor & Francis Ltd Mathematical Physics for Nuclear Experiments
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Taylor & Francis Ltd Electrodynamics Tutorials with Python Simulations
Book SynopsisThis book provides an accessible introduction to intermediate-level electrodynamics with computa- tional approaches to complement a traditional mathematical treatment of the subject. It covers key topics in electrodynamics, such as electromagnetic fields, forces, potentials, and waves as well as Special Theory of Relativity.Through intuition-building examples and visualizations in the Python programming language, it helps readers to develop technical computing skills in numerical and symbolic calculations, modeling and simulations, and visualizations. Python is a highly readable and practical programming language, making this book appropriate for students without extensive programming experience.This book can serve as an electrodynamics textbook for undergraduate physics and engineering students in their second or third years, who are studying intermediate- or advanced-level electrodynamics and who want to learn techniques for scientific computing at the same time. Thi
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Cambridge University Press Nonequilibrium Statistical Mechanic
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Cambridge University Press Nonequilibrium Phase Transitions in Lattice Models
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Cambridge University Press Continuum Percolation 119 Cambridge Tracts in Mathematics Series Number 119
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