Dynamics and statics Books

70 products


  • IOP Publishing LATTICE BOLTZMANN MODELING COMPLEX FLOPB

    Out of stock

    Book Synopsis

    Out of stock

    £23.75

  • Morgan & Claypool Publishers Ionization and Ion Transport: A primer for the

    Out of stock

    Book Synopsis

    Out of stock

    £23.75

  • Morgan & Claypool Publishers Electrodynamics: Problems and Solutions

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    Book Synopsis

    Out of stock

    £23.75

  • Morgan & Claypool Publishers Sonic Thunder: A discussion of natural and

    Out of stock

    Book Synopsis

    Out of stock

    £23.75

  • Nuclear Magnetic Relaxation and Molecular

    Royal Society of Chemistry Nuclear Magnetic Relaxation and Molecular

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    Book SynopsisThis book outlines the unparalleled potential of NMR relaxation experiments to elucidate molecular dynamics for undergraduates to academics and those in industry.

    Out of stock

    £71.25

  • Elements Of Fluid Dynamics

    Imperial College Press Elements Of Fluid Dynamics

    Out of stock

    Book SynopsisElements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equations of fluid motion and all their physical and mathematical implications have been thoroughly assimilated. Therefore, the complete equations of motion of a compressible viscous fluid are first derived and their physical and mathematical aspects are thoroughly discussed. Subsequently, the necessity of simplified treatments is highlighted, and a detailed analysis is made of the assumptions and range of applicability of the incompressible flow model, which is then adopted for most of the rest of the book. Furthermore, the role of the generation and dynamics of vorticity on the development of different flows is emphasized, as well as its influence on the characteristics, magnitude and predictability of the fluid dynamic loads acting on moving bodies.The book is divided into two parts which differ in target and method of utilization. The first part contains the fundamentals of fluid dynamics that are essential for any student new to the subject. This part of the book is organized in a strictly sequential way, i.e. each chapter is assumed to be carefully read and studied before the next one is tackled, and its aim is to lead the reader in understanding the origin of the fluid dynamic forces on different types of bodies. The second part of the book is devoted to selected topics that may be of more specific interest to different students. In particular, some theoretical aspects of incompressible flows are first analysed and classical applications of fluid dynamics such as the aerodynamics of airfoils, wings and bluff bodies are then described. The one-dimensional treatment of compressible flows is finally considered, together with its application to the study of the motion in ducts.Table of ContentsFundamentals: Introduction; Properties of Fluids; Characterization of the Motion of Fluids; The Equations of Motion of Fluids; The Incompressible Flow Model; Vorticity Dynamics in Incompressible Flows; Incompressible Boundary Layers; Fluid Dynamic Loads on Bodies in Incompressible Flows; Deeper Analyses and Classical Applications: Exact Solutions of the Incompressible-flow Equations; The Role of the Energy Balance in Incompressible Flows; Complements on the Role of Vorticity in Incompressible Flows; Airfoils in Incompressible Flows; Finite Wings in Incompressible Flows; An Outline of Bluff Body Aerodynamics; One-dimensional Compressible Flows.

    Out of stock

    £103.50

  • Elements Of Fluid Dynamics

    Imperial College Press Elements Of Fluid Dynamics

    Out of stock

    Book SynopsisElements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equations of fluid motion and all their physical and mathematical implications have been thoroughly assimilated. Therefore, the complete equations of motion of a compressible viscous fluid are first derived and their physical and mathematical aspects are thoroughly discussed. Subsequently, the necessity of simplified treatments is highlighted, and a detailed analysis is made of the assumptions and range of applicability of the incompressible flow model, which is then adopted for most of the rest of the book. Furthermore, the role of the generation and dynamics of vorticity on the development of different flows is emphasized, as well as its influence on the characteristics, magnitude and predictability of the fluid dynamic loads acting on moving bodies.The book is divided into two parts which differ in target and method of utilization. The first part contains the fundamentals of fluid dynamics that are essential for any student new to the subject. This part of the book is organized in a strictly sequential way, i.e. each chapter is assumed to be carefully read and studied before the next one is tackled, and its aim is to lead the reader in understanding the origin of the fluid dynamic forces on different types of bodies. The second part of the book is devoted to selected topics that may be of more specific interest to different students. In particular, some theoretical aspects of incompressible flows are first analysed and classical applications of fluid dynamics such as the aerodynamics of airfoils, wings and bluff bodies are then described. The one-dimensional treatment of compressible flows is finally considered, together with its application to the study of the motion in ducts.Table of ContentsFundamentals: Introduction; Properties of Fluids; Characterization of the Motion of Fluids; The Equations of Motion of Fluids; The Incompressible Flow Model; Vorticity Dynamics in Incompressible Flows; Incompressible Boundary Layers; Fluid Dynamic Loads on Bodies in Incompressible Flows; Deeper Analyses and Classical Applications: Exact Solutions of the Incompressible-flow Equations; The Role of the Energy Balance in Incompressible Flows; Complements on the Role of Vorticity in Incompressible Flows; Airfoils in Incompressible Flows; Finite Wings in Incompressible Flows; An Outline of Bluff Body Aerodynamics; One-dimensional Compressible Flows.

    Out of stock

    £53.20

  • Introduction to Dynamics

    College House Enterprises, LLC Introduction to Dynamics

    1 in stock

    Book Synopsis

    1 in stock

    £80.75

  • Mechanical Vibration: Theory and Application

    Rutgers University Press Mechanical Vibration: Theory and Application

    1 in stock

    Book SynopsisThe Fifth edition of this classic textbook includes a solutions manual. Extensive supplemental instructor resources are forthcoming in the Fall of 2022.Mechanical Vibration: Theory and Application presents comprehensive coverage of the fundamental principles of mechanical vibration, including the theory of vibration, as well as discussions and examples of the applications of these principles to practical engineering problems. The book also addresses the effects of uncertainties in vibration analysis and design and develops passive and active methods for the control of vibration. Many example problems with solutions are provided. These examples as well as compelling case studies and stories of real-world applications of mechanical vibration have been carefully chosen and presented to help the reader gain a thorough understanding of the subject. There is a solutions manual for instructors who adopt this book. Request a solutions manual here (https://www.rutgersuniversitypress.org/mechanical-vibration).Trade ReviewThis fifth edition of Mechanical Vibration, a broad and deep exposition not only of vibration, but also of system uncertainties and control, has been expanded and re-written in many parts. The comprehensive coverage includes elementary as well as advanced and professional topics. There are numerous engineering case studies, new appendixes on damping models, and extensive MATLAB resources. The exposition of concepts is careful and precise and yet the presentation is casual, a combination that makes the book remarkably easy and enjoyable to read. -- Fai Ma * Mechanical Engineering, University of California, Berkeley *Mechanical vibration permeates every aspect of engineering design including automotive, aerospace, electronics, machine tools, robotics and structural systems. This text provides a well-integrated, clear and concise discussion of the theory and practice of mechanical vibration as well as the related subjects of random vibration and vibration control. It presents a wide array of real-world examples and meaningful case studies, highlighted by interesting photographs that motivate the subject. There are many solved problems, detailed derivations, and insights that draw on the academic and industrial experiences of the authors. Some of the examples address very classical systems, and others target next generation systems that are currently at the leading edge of technology. The authors are to be congratulated for writing an engaging textbook that makes the challenging and important subject of vibration accessible to engineering students in various disciplines. -- Thomas R. Kurfess * George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology *For a broad range of engineers involved in structural analysis, this is, in my opinion, a definitely "must have" book. It is perfectly relevant to numerous applications of vibrational analysis in civil, mechanical, aerospace, and biomechanical engineering fields. Although it is written primarily as a textbook, an experienced reader will find it equally useful as a systematic reference of major modern concepts, solutions, and demonstrations cases. The authors have found an optimum balance between “mathematical” and “applied” sides, emphasizing, on one hand, the motivation and modeling of reality, and lessons learned from generated results and, on the other hand, providing rigorous mathematical implementations in a very clear and logical way. The book is extremely well written, and very easy to read, with numerous examples. It also includes an appendix with extensive MATLAB programs for quick implementation into engineering practice. I especially value the chapters on random vibration that demonstrate the importance of probabilistic solutions of structural reliability. It is also a pleasure indeed to read historical anecdotes and life sketches and understand the development of modern mechanics as a process. -- Mark Gurvich * Technical Fellow, Collins Aerospace *Whether tuning a suspension, maximizing tire grip, honing a cylinder bore or determining (just enough) engine isolation, the topic of vibration is critical to vehicle design. This book is impressive, not only in its scope, but also in its approach. The presentation of material is well thought-out, the examples and derivations are quite detailed and easy to follow, while the prose, pictures and bios provide unique context that make the subject matter surprisingly engaging. Aside from making this broad topic approachable to students, this book serves as a concise reference for professionals. The inclusion of an overview of basic (time domain) controls, as well as random vibration, adds additional value and perspective. -- Jim Sadauckas * Staff System Engineer, Vehicle Dynamics & Simulation, Harley-Davidson Motor Company *In the design of vehicles, vibration is a constant issue as it influences complete vehicle properties such as cabin comfort, driving performance, and vehicle dynamics and can lead to fatigue, damage, and failure. Control of vibration is a key factor in successful vehicle design, making this book on modern vibration highly relevant. The book connects theory with practice, includes many worked examples and case studies, and is a resource on vibration that imparts deep physical as well as mathematical understanding to the student or engineer. It is highly recommended. -- Julian Weber * Head of Innovation Projects E-Mobility, BMW *I have heard people say that good writing has a ‘voice.’ Mechanical Vibration by Benaroya, Nagurka, and Han has a voice that tells a rich story about vibration analysis in all its glory – from the beauty of its mathematics through its impact on our daily lives to the history of the people who brought it to life. -- Keith Buffinton * Dean of Engineering, emeritus, Bucknell University *Table of Contents1. INTRODUCTION AND BACKGROUND2. SINGLE DEGREE-OF-FREEDOM UNDAMPED VIBRATION 3. SINGLE DEGREE-OF-FREEDOM DAMPED VIBRATION4. SINGLE DOF VIBRATION: GENERAL LOADING AND ADVANCED TOPICS5. VARIATIONAL PRINCIPLES AND ANALYTICAL DYNAMICS6. MULTI DEGREE-OF-FREEDOM VIBRATION7. CONTINUOUS MODELS FOR VIBRATION 8. CONTINUOUS MODELS FOR VIBRATION: ADVANCED MODELS9. RANDOM VIBRATION: PROBABILISTIC FORCES10. VIBRATION CONTROL 11. NONLINEAR VIBRATIONA: MATHEMATICAL CONCEPTS FOR VIBRATIONB: VISCOELASTIC DAMPINGC: SOLVING VIBRATION PROBLEMS WITH MATLABIndex

    1 in stock

    £107.20

  • Physics of Nonlinear Optics

    Springer Nature Switzerland AG Physics of Nonlinear Optics

    1 in stock

    Book SynopsisThe book is designed to serve as a textbook for courses offered to upper-undergraduate students enrolled in physics. The first edition of this book was published in 2014. As there is a demand for the next edition, it is quite natural to take note of the several advances that have occurred in the subject over the past five years and to decide which of these are appropriate for inclusion at the textbook level, given the fundamental nature and the significance of the subject area. This is the prime motivation for bringing out a revised second edition. Among the newer mechanisms and materials, the book introduces the super-continuum generation, which arises from an excellent interplay of the various mechanisms of optical nonlinearity. The topics covered in this book are quantum mechanics of nonlinear interaction of matter and radiation, formalism and phenomenology of nonlinear wave mixing processes, optical phase conjugation and applications, self-focusing and self-phase modulation and their role in pulse modification, nonlinear absorption mechanisms, and optical limiting applications, photonic switching and bi-stability, and physical mechanisms leading to a nonlinear response in a variety of materials. This book has emerged from an attempt to address the requirement of presenting the subject at the college level. This textbook includes rigorous features such as the elucidation of relevant basic principles of physics; a clear exposition of the ideas involved at an appropriate level; coverage of the physical mechanisms of non-linearity; updates on physical mechanisms and emerging photonic materials and emphasis on the experimental study of nonlinear interactions. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in physics and related courses.Table of Contents1 From Optics to Photonics 1.1 The Charm and Challenge of Modern Optics 1.2 The Nature of Optical Non-linearity 1.3 Overcoming the Materials Bottleneck 1.4 The Expanding Frontiers 1.5 Problems and Prospects 1.6 Explorations 2 A Phenomenological View of Nonlinear Optics 2.1 Optics in the Nonlinear World 2.1.1 Introduction 2.1.2 First Order Susceptibility 2.1.3 Second Order Susceptibility 2.1.4 Third Order Susceptibility 2.2 Time Domain Response 2.2.1 First Order Polarization- Time Domain Response 2.2.2 Second Order Polarization - Time Domain Response 2.3 Frequency Domain Response 2.3.1 First Order Susceptibility 2.3.2 Second Order Susceptibility 2.3.3 General Order (n) Susceptibility 2.4 The nth order polarization 2.5 Monochromatic Waves 2.6 Calculation of the Factor K 2.6.1 Optical Rectification 2.6.2 Second Harmonic Generation 2.6.3 Pockels Effect 2.6.4 Frequency Mixing : Sum and Difference Frequency generation 2.6.5 Third Harmonic Generation 2.6.6 Nondegenerate Four Wave Mixing 2.7 Explorations 3. Symmetry and Susceptibility 3.1 Introduction 3.2 Crystal Symmetry and Susceptibility Tensors 3.2.1 Neumann Principle 3.2.2 Symmetry of Second Order Susceptibility 3.2.3 Second Harmonic Generation 3.2.4 Kleinmann Symmetry 3.2.5 Symmetry of Third Order Susceptibility 3.3 The Dielectric Permittivity Tensor 3.4 The Refractive Index Ellipsoid 3.5 Explorations 4 Calculation of Non-linear Susceptibilities 4.1 Introduction 4.1.1 Physical Quantities in Quantum Physics 4.1.2 The Projection Operator 4.2 The Equation of Motion 4.3 Ensembles of Particles 4.4 Time-dependent Perturbation 4.5 Dipolar Interaction 4.6 First Order Density Matrix 4.7 Second Order Density Matrix 4.8 Third order Density Matrix 4.9 Double Integrals in the Expressions for the Density Matrix 4.10 Second Harmonic Susceptibility 4.11 Relaxation Effects 4.12 Applications to Color Centers 4.12.1 Third Order Susceptibility 4.12.3 Second Order Susceptibility 4.13. Explorations 5 Nonlinear Wave Mixing Processes 5.1 Introduction 5.2 Elements of Electromagnetism 5.3 Travelling Electromagnetic Waves in Free Space 5.3.1 Energy Density in the Travelling Wave 5.4 Propagation of Electromagnetic Waves in Linear Materials 5.5 Propagation of Electromagnetic Waves in Nonlinear Materials 5.5.1 The Wave Equation 5.5.2 Energy Transfer Rate 5.6 Three Wave Mixing 5.6.1 An Approximation 5.7 Second Harmonic Generation 5.7.1 Phase Matching Schemes 5.7.2 Accurate Treatment of Second Harmonic Generation 5.8 Explorations 6 Optical Phase Conjugation and Bi-stability 6.1 Optical Phase Conjugation 6.1.1 Phase Conjugation as Time reversal 6.1.2 Phase Conjugation through Four-wave-mixing 6.1.3 Practical Realization 6.1.4 The Peculiar Properties of the Phase Conjugate Beam 6.1.5 The Grating Picture 6.1.6 Applications of Phase Conjugation 6.2 Optical Bi-stability and Photonic Switching 6.2.1 Refractive Index at High Intensities : An Overview 6.2.2. Fabry-Perot Etalon 6.2.2 Photonic Switching in a Nonlinear Fabry-Perot Etalon 6.3 Explorations 7 Self Focusing, Phase Modulation and Pulse Shaping 7.1 Self Focusing of Light 7.1.1 The Concept of Self Focusing 7.1.2 Self Trapping and Spatial Solitons 7.1.3 The z-Scan Experiment 7.1.4 Analysis of the z-scan trace 7.1.5 Measurement of Nonlinear Optical Absorption 7.1.6 Mechanisms of Nonlinear Absorption 7.2 Self Phase Modulation 7.3 Pulse Shaping and Optical Soliton Propagation 7.3.1 Solitary Waves and Optical Solitons 7.4 Explorations 8 Materials and Mechanisms 8.1 Introduction 8.2 Mechanisms of Non-linearity 8.2.1 Anharmonicity of Potential 8.2.2 Thermal Mechanism 8.2.3 Orientational Mechanism 8.2.4 Inelastic Photon Scattering 8.2.5 Photorefractivity 8.2.6 Saturable Absorption 8.2.7 Band Gap Distortion (Franz-Keldysh Effect) 8.2.8 Band filling Mechanism 8.2.9 Non-parabolicity of Bands 8.2.10 Delocalization of Electrons 8.3 A Perspective on Newer Materials and Mechanisms 8.3.1 Low Dimensional Materials 8.3.2 Photonic Bandgap Materials 8.3.3 Slowing of light and the effect on non-linearity 8.3.4 Super-continuum Generation 8.4 Explorations 9. Basics of Multi-photon Microscopy 9.1 Introduction 9.2. Techniques for Bio-imaging with High resolution 9.2.1 Fluorescence Microscopy 9.2.2 Confocal Scanning Microscopy 9.3. Multi-photon Microscopy with IR Laser Sources 9.3.1 Principles and Experimental Techniques 9.3.2 Fluorescent Labels in Microscopy 9.4 Use of Multiphoton Absorption in Quantum Dots 9.5 Outlook 9.6 Explorations

    1 in stock

    £47.49

  • De Gruyter Theorie der Stabilität einer Bewegung

    Out of stock

    Book Synopsis

    Out of stock

    £134.09

  • Out of stock

    £134.09

  • Out of stock

    £134.09

  • Out of stock

    £134.09

  • Out of stock

    £134.09

  • Out of stock

    £134.09

  • Dynamical Systems with Applications using Python

    Birkhauser Verlag AG Dynamical Systems with Applications using Python

    Out of stock

    Book SynopsisThis textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams.After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential. Trade Review“Lynch has successfully captured this: I find this book to be uniquely successful in teaching a branch of mathematics together with computing while inspiring students to look at references and explorations beyond the text.” (Patrick Shipman, SIAM Review, Vol. 62 (2), 2020)“This book is meant as an upper level undergraduate or graduate text in dynamical systems. … this is an attractive text, one that I wish I had access to when I was learning dynamical systems, and one that I would be glad to teach from.” (John Starrett, MAA Reviews, July 28, 2019)Table of ContentsPreface.- A Tutorial Introduction to Python.- Differential Equations.- Planar Systems.- Interacting Species.- Limit Cycles.- Hamiltonian Systems, Lyapunov Functions, and Stability.- Bifurcation Theory.- Three-Dimensional Autonomous Systems and Chaos.- Poincaré Maps and Nonautonomous Systems in the Plane.- Local and Global Bifurcations.- The Second Part of Hilbert's Sixteenth Problem.- Delay Differential Equations.- Linear Discrete Dynamical Systems.- Nonlinear Discrete Dynamical Systems.- Complex Iterative Maps.- Electromagnectic Waves and Optical Resonators.- Fractals and Multifractals.- Image Processing with Python.- Chaos Control and Synchronization.- Neural Networks.- Binary Oscillator Computing.- Coursework and Examination-Type Questions.- Solutions to Exercises.- Index of Python Programs.- Index.

    Out of stock

    £71.99

  • Physik in leicht: Mechanik: Kinematik, Dynamik

    Books on Demand Physik in leicht: Mechanik: Kinematik, Dynamik

    Out of stock

    Book Synopsis

    Out of stock

    £20.92

  • Modelagem da Dinâmica de Sistemas e Estudo da

    1 in stock

    £30.05

  • Swinging and Rolling: Unveiling Galileo's

    Springer Swinging and Rolling: Unveiling Galileo's

    2 in stock

    Book SynopsisThis volume explores the reorganisation of knowledge taking place in the course of Galileo's research process extending over a period of more than thirty years, pursued within a network of exchanges with his contemporaries, and documented by a vast collection of research notes. It has revealed the challenging objects that motivated and shaped Galileo's thinking and closely followed the knowledge reorganization engendered by theses challenges. It has thus turned out, for example, that the problem of reducing the properties of pendulum motion to the laws governing naturally accelerated motion on inclined planes was the mainspring for the formation of Galileo's comprehensive theory of naturally accelerated motion.Table of Contents1. Introduction, Novel Insights about accelerated motion: the challenge of pendulums and planes.- 2. Speaking the investigation of naturally accelerated motion: The broken chord approach.- 3. Early experimentation: The Pendulum Plane Experiment.- 4. Prerequisite for, or challenged by the new theory: The 'ex mechanics' proof of the Law of Chords.- 5. Foundational issues before 1604: Fundamental propositions, the mechanical method and problems with the concept of velocity. Conclusion, Appendix.

    2 in stock

    £74.99

  • Applicable Atmospheric Dynamics: Techniques For

    World Scientific Publishing Co Pte Ltd Applicable Atmospheric Dynamics: Techniques For

    Out of stock

    Book SynopsisThis book offers an overview of advanced techniques to study atmospheric dynamics by numerical experimentation. It is primarily intended for scientists and graduate students working on interdisciplinary research problems at the intersection of the atmospheric sciences, applied mathematics, statistics and physics. Scientists interested in adopting techniques from the atmospheric sciences to study other complex systems may also find most of the topics covered in the book interesting. The specific techniques covered in the book have either proven or potential value in solving practical problems of atmospheric dynamics.Table of ContentsThe Atmospheric Governing Equations: Introduction; The Governing Equations; Alternate Vertical Coordinates; Filtered Model Equations; Atmospheric Waves; Global Energetics; Potential Vorticity; Numerical Models: Introduction; Toy Models; Simple Models; Realistic Models; Data Assimilation: The Generation of Initial Conditions: Introduction; General Formulation of the Analysis Problem; Nonlinear Case: Extended Kalman Filter; 3-Dimensional Algorithms; 4-Dimensional Algorithms; Ensemble-based Kalman Filtering; Account for the Effect of Model Errors in Data Assimilation; Local Diagnostics: Atmospheric Wave Packets; Local Energetics; PV-thinking; Ensemble based Diagnostics.

    Out of stock

    £175.50

  • Fractional Kinetics In Solids: Anomalous Charge

    World Scientific Publishing Co Pte Ltd Fractional Kinetics In Solids: Anomalous Charge

    Out of stock

    Book SynopsisThe standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. Causes of anomality lie in non-uniformly scaled (fractal) spatial heterogeneities, in which particle trajectories take cluster form. Furthermore, particles can be located in some domains of small sizes (traps) for a long time. Estimations show that path length and waiting time distributions are often characterized by heavy tails of the power law type. This behavior allows the introduction of time and space derivatives of fractional orders. Distinction of path length distribution from exponential is interpreted as a consequence of media fractality, and analogous property of waiting time distribution as a presence of memory.In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher-Montroll and Arkhipov-Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described. The relationship between fractional transport equations and the generalized limit theorem reveals the probabilistic aspects of the phenomenon in which a dispersive to Gaussian transport transition occurs in a time-of-flight experiment as the applied voltage is decreased and/or the sample thickness increased. Recent experiments devoted to studies of transport in quantum dot arrays are discussed in the framework of dispersive transport models. The memory phenomena in systems under consideration are discussed in the analysis of fractional equations.It is shown that the approach based on the anomalous transport models and the fractional kinetic equations may be very useful in some problems that involve nano-sized systems. These are photon counting statistics of blinking single quantum dot fluorescence, relaxation of current in colloidal quantum dot arrays, and some others.Table of ContentsAnomalous Diffusion; Dispersive Transport in Semiconductors; Anomalous Dielectric Relaxation; Quantum Dot Systems.

    Out of stock

    £76.95

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