This book comprises proceedings based on those lectures and covering a broad spectrum of topics in NSP ranging fran basic problems in quantum measurement theory to analogies between lasers and Darwinian evolution.

Author: Gerald T. Moore

Publisher: Springer Science & Business Media

ISBN: 9781461321811

Category: Science

Page: 510

View: 131

The four-week period fran May 20 to June 16, 1984 was an intensive period of advanced study on the foundations and frontiers of nonequili brium statistical physics (NSP). During the first two weeks of this period, an advanced-study course on the "Foundations of NSP" was con ducted in Albuquerque under the sponsorship of the University of New Mexico Center for High-Technology Materials. This was followed by a two-week NATO Advanced Study Insti tute on the "Frontiers of NSP" in Santa Fe under the same directorship. Many Students attended both meetings. This book comprises proceedings based on those lectures and covering a broad spectrum of topics in NSP ranging fran basic problems in quantum measurement theory to analogies between lasers and Darwinian evolution. The various types of quantum distribution functions and their uses are treated by several authors. other tools of NSP, such as Langevin equations, Fokker-Planck equations, and master equations, are developed and applied to areas such as laser physics, plasma physics, Brownian motion, and hydrodynamic instabilities. The properties and experimental detection of squeezed states and antibunching are described, as well as experimental tests of the violation of Bell's inequality. Information theory, mean-field theory, reservoir theory, entropy maximization, and even a novel nonlinear generalization of quantum mechanics are used to discuss nonequilibrium phenanena and the approach toward thermodynamic equilibrium.

This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics.

Author: Robert Zwanzig

Publisher: Oxford University Press

ISBN: 0198032153

Category: Science

Page: 240

View: 233

This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.

For information on the general aim of this book, the reader is referred to the Foreword. For further reading, the reader should consult the bibliographies, although these are not meant to be exhaustive.

Author: R. Kubo

Publisher: Springer Science & Business Media

ISBN: 9783642967016

Category: Science

Page: 279

View: 377

This volume of Statistical Physics consititutes the second part of Statistical Physics (Springer Series in Solid-State Science, Vols. 30, 31) and is devoted to nonequilibrium theories of statistical mechanics. We start with an intro duction to the stochastic treatment of Brownian motion and then proceed to general problems involved in deriving a physical process from an underlying more basic process. Relaxation from nonequilibrium to equilibrium states and the response of a system to an external disturbance form the central problems of nonequilibrium statistical mechanics. These problems are treated both phenomenologically and microscopically along the lines of re cent developments. Emphasis is placed on fundamental concepts and methods rather than on applications which are too numerous to be treated exhaustively within the limited space of this volume. For information on the general aim of this book, the reader is referred to the Foreword. For further reading, the reader should consult the bibliographies, although these are not meant to be exhaustive.

Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem.

Author: Ryogo Kubo

Publisher: Springer Science & Business Media

ISBN: 9783642582448

Category: Science

Page: 279

View: 721

Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications.

This book presents a united approach to the statistical physics of systems near equilibrium: it brings out the profound unity of the laws which govern them and gathers together results usually fragmented in the literature.

Author: Noëlle Pottier

Publisher: Oxford University Press

ISBN: 9780199556885

Category: Mathematics

Page: 491

View: 536

This book presents a united approach to the statistical physics of systems near equilibrium: it brings out the profound unity of the laws which govern them and gathers together results usually fragmented in the literature. It will be useful both as a textbook about irreversible phenomena and as a reference book for researchers.

This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.

Author: John Cardy

Publisher: Cambridge University Press

ISBN: 0521715148

Category: Mathematics

Page: 161

View: 333

This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.

Authored by a well-known expert in the field of nonequilibrium statistical physics, this book is a coherent presentation of the subject suitable for masters and PhD students, as well as postdocs in physics and related disciplines.

Author: Gerd Röpke

Publisher: John Wiley & Sons

ISBN: 9783527670598

Category: Science

Page: 382

View: 107

Authored by a well-known expert in the field of nonequilibrium statistical physics, this book is a coherent presentation of the subject suitable for masters and PhD students, as well as postdocs in physics and related disciplines. Starting from a general discussion of irreversibility and entropy, the method of nonequilibrium statistical operator is presented as a general concept. Stochastic processes are introduced as a necessary prerequisite to describe the evolution of a nonequilibrium state. Different standard approaches such as master equations, kinetic equations and linear response theory, are derived after special assumptions. This allows for an insight into the problems of nonequilibrium physics, a discussion of the limits of the approaches, and suggestions for improvements. The method of thermodynamic Green's function is outlined that allows for the systematic quantum statistical treatment of many-body systems. Applications and typical examples are given, as well as fully worked problems.

This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems.

Author: Rainer Klages

Publisher: John Wiley & Sons

ISBN: 9783527658725

Category: Science

Page: 450

View: 242

This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, ...

Author: Ilya Prigogine

Publisher: Courier Dover Publications

ISBN: 9780486820408

Category: Science

Page: 336

View: 184

Ilya Prigogine won the 1977 Nobel Prize in Chemistry for his contributions to non-equilibrium thermodynamics. This groundbreaking 1962 monograph, written for researchers and graduate students in this field, was his first book-length contribution to this subject. Suitable for advanced undergraduates and graduate students in physics and chemistry, the treatment begins with examinations of the Liouville equation, anharmonic solids, and Brownian motion. Subsequent chapters explore weakly coupled gases, scattering theory and short-range forces, distribution functions and their diagrammatic representation, the time dependence of diagrams, the approach to equilibrium in ionized gases, and statistical hydrodynamics. Additional topics include general kinetic equations, general H-theorem, quantum mechanics, and irreversibility and invariants of motion. Appendices, a bibliography, list of symbols, and an index conclude the text.

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects.

Author: Morikazu Toda

Publisher: Springer Science & Business Media

ISBN: 9783642581342

Category: Science

Page: 256

View: 993

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.

This unified look at modern statistical theory of nonequilibrium processes explores applications of this approach to classical and quantum kinetic theory of nonideal gases, to plasmas, and to solid state physics.

Author: Dmitrii N. Zubarev

Publisher: Wiley-VCH

ISBN: STANFORD:36105020148859

Category: Science

Page: 375

View: 482

This unified look at modern statistical theory of nonequilibrium processes explores applications of this approach to classical and quantum kinetic theory of nonideal gases, to plasmas, and to solid state physics. Provides an accessible introduction to this subject.

This is the third volume of a four volume set of texts by the same author, two of which have already been published ("Fluctuations, Order, and Defects" 0-471-32840-5, "Equilibrium Statistical Mechanics" 0-471-32839-1).

Author: Gene F. Mazenko

Publisher: John Wiley & Sons

ISBN: 9783527618965

Category: Science

Page: 492

View: 682

The present text offers a graduate level treatment of time dependent phenomena in condensed matter physics. Conventional ideas of linear response theory and kinetic theory are treated in detail. The general emphasis, however, in on the development of generalized Langevin equations for treating nonlinear behaviour in a wide variety of systems. A full treatment is given for the underpinnings of hydrodynamics for fluids. This is the third volume of a four volume set of texts by the same author, two of which have already been published ("Fluctuations, Order, and Defects" 0-471-32840-5, "Equilibrium Statistical Mechanics" 0-471-32839-1). While the preceding volume contains material that is a prerequisite for fully understanding the material presented here, this volume is self-contained and can stand alone from the preceding volume.

Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.

Author: Byung Chan Eu

Publisher: Springer Science & Business Media

ISBN: 9789401724388

Category: Science

Page: 394

View: 222

In this monograph, nonequilibrium statistical mechanics is developed by means of ensemble methods on the basis of the Boltzmann equation, the generic Boltzmann equations for classical and quantum dilute gases, and a generalised Boltzmann equation for dense simple fluids. The theories are developed in forms parallel with the equilibrium Gibbs ensemble theory in a way fully consistent with the laws of thermodynamics. The generalised hydrodynamics equations are the integral part of the theory and describe the evolution of macroscopic processes in accordance with the laws of thermodynamics of systems far removed from equilibrium. Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.

Author: Manuel Osvaldo CáceresPublish On: 2017-03-07

The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text.

Author: Manuel Osvaldo Cáceres

Publisher: Springer

ISBN: 9783319515533

Category: Science

Page: 556

View: 879

This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.

This book deals with the basic principles, techniques, and advances being made--both experimentally and theoretically--in the study of nonequilibrium phenomena, particularly in statistical physics, chemical physics, biological physics, ...

Author: V Balakrishnan

Publisher: CRC Press

ISBN: 1420074199

Category: Science

Page: 314

View: 526

This book deals with the basic principles, techniques, and advances being made--both experimentally and theoretically--in the study of nonequilibrium phenomena, particularly in statistical physics, chemical physics, biological physics, complex systems, and several other areas. Accessible to senior undergraduate students and post-graduate students, this self-contained book offers a choice of topics that enables them to form a coherent picture of the subject. Coverage includes equations and formulas for calculating distribution, diffusion, and dynamic mobility under different conditions. The book concludes with a generalized Langevin equation and the power spectrum of pulse sequences.

The scientific problems discussed in this volume include biological applications of statistical physics, econophysics and sociologically related problems, chaos and nonlinear dynamics, pattern formation and spatio-temporal complexity, ...

Author: Orazio Descalzi

Publisher: Amer Inst of Physics

ISBN: 0735404216

Category: Science

Page: 224

View: 185

Statistical mechanics and nonlinear physics are research areas that have developed a multidisciplinary character with many applications. The scientific problems discussed in this volume include biological applications of statistical physics, econophysics and sociologically related problems, chaos and nonlinear dynamics, pattern formation and spatio-temporal complexity, fluids and granular media, q-thermostatistics, stochastic processes, lasers and nonlinear optics, synchronization, wavelets and nonlinear time series analysis.

This work presents the construction of an asymptotic technique for solving the Liouville equation, which is an analogue of the Enskog-Chapman technique for the Boltzmann equation.

Author: Tian-Quan Chen

Publisher: World Scientific

ISBN: 9812795197

Category: Science

Page: 436

View: 808

This work presents the construction of an asymptotic technique for solving the Liouville equation, which is an analogue of the Enskog-Chapman technique for the Boltzmann equation. Because the assumption of molecular chaos has not been introduced, the macroscopic variables defined by the arithmetic means of the corresponding microscopic variables are random in general. Therefore, it is convenient for describing the turbulence phenomena. The asymptotic technique for the Liouville equation reveals a term showing the interaction between the temperature and the velocity of the fluid flows, which will be lost under the assumption of molecular chaos.