Introduction To Nonequilibrium Statistical Mechanics

Author : J. R. Dorfman
Publisher : Cambridge University Press
Page : 303 pages
File Size : 46,9 Mb
Release : 1999-08-28
Category : Science
ISBN : 9780521655897

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An Introduction to Chaos in Nonequilibrium Statistical Mechanics by J. R. Dorfman Pdf

This book is an introduction to the applications in nonequilibrium statistical mechanics of chaotic dynamics, and also to the use of techniques in statistical mechanics important for an understanding of the chaotic behaviour of fluid systems. The fundamental concepts of dynamical systems theory are reviewed and simple examples are given. Advanced topics including SRB and Gibbs measures, unstable periodic orbit expansions, and applications to billiard-ball systems, are then explained. The text emphasises the connections between transport coefficients, needed to describe macroscopic properties of fluid flows, and quantities, such as Lyapunov exponents and Kolmogorov-Sinai entropies, which describe the microscopic, chaotic behaviour of the fluid. Later chapters consider the roles of the expanding and contracting manifolds of hyperbolic dynamical systems and the large number of particles in macroscopic systems. Exercises, detailed references and suggestions for further reading are included.

Author : Robert Zwanzig
Publisher : Oxford University Press, USA
Page : 233 pages
File Size : 55,9 Mb
Release : 2001-05-17
Category : Science
ISBN : 9780195140187

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Nonequilibrium Statistical Mechanics by Robert Zwanzig Pdf

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.

Author : V. Balakrishnan
Publisher : Springer
Page : 314 pages
File Size : 54,9 Mb
Release : 2021-12-05
Category : Science
ISBN : 3030622355

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Elements of Nonequilibrium Statistical Mechanics by V. Balakrishnan Pdf

This book deals with the basic principles and techniques of nonequilibrium statistical mechanics. The importance of this subject is growing rapidly in view of the advances being made, both experimentally and theoretically, in statistical physics, chemical physics, biological physics, complex systems and several other areas. The presentation of topics is quite self-contained, and the choice of topics enables the student to form a coherent picture of the subject. The approach is unique in that classical mechanical formulation takes center stage. The book is of particular interest to advanced undergraduate and graduate students in engineering departments.

Author : James A. McLennan
Publisher : Unknown
Page : 392 pages
File Size : 51,8 Mb
Release : 1989
Category : Science
ISBN : UOM:39015017230569

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Introduction to Nonequilibrium Statistical Mechanics by James A. McLennan Pdf

Author : Ilya Prigogine
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 46,9 Mb
Release : 2017-03-17
Category : Science
ISBN : 9780486815558

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Non-Equilibrium Statistical Mechanics by Ilya Prigogine Pdf

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, more. 1962 edition.

Author : Horacio S Wio,Roberto R Deza,Juan M López
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 54,7 Mb
Release : 2012-09-05
Category : Science
ISBN : 9789814434638

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An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics by Horacio S Wio,Roberto R Deza,Juan M López Pdf

This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed. This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.

Author : Denis J. Evans,Gary P. Morriss
Publisher : ANU E Press
Page : 318 pages
File Size : 41,6 Mb
Release : 2007-08-01
Category : Science
ISBN : 9781921313233

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Statistical Mechanics of Nonequilibrium Liquids by Denis J. Evans,Gary P. Morriss Pdf

"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.

Author : Joel Keizer
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461210542

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Statistical Thermodynamics of Nonequilibrium Processes by Joel Keizer Pdf

The structure of the theory ofthermodynamics has changed enormously since its inception in the middle of the nineteenth century. Shortly after Thomson and Clausius enunciated their versions of the Second Law, Clausius, Maxwell, and Boltzmann began actively pursuing the molecular basis of thermo dynamics, work that culminated in the Boltzmann equation and the theory of transport processes in dilute gases. Much later, Onsager undertook the elucidation of the symmetry oftransport coefficients and, thereby, established himself as the father of the theory of nonequilibrium thermodynamics. Com bining the statistical ideas of Gibbs and Langevin with the phenomenological transport equations, Onsager and others went on to develop a consistent statistical theory of irreversible processes. The power of that theory is in its ability to relate measurable quantities, such as transport coefficients and thermodynamic derivatives, to the results of experimental measurements. As powerful as that theory is, it is linear and limited in validity to a neighborhood of equilibrium. In recent years it has been possible to extend the statistical theory of nonequilibrium processes to include nonlinear effects. The modern theory, as expounded in this book, is applicable to a wide variety of systems both close to and far from equilibrium. The theory is based on the notion of elementary molecular processes, which manifest themselves as random changes in the extensive variables characterizing a system. The theory has a hierarchical character and, thus, can be applied at various levels of molecular detail.

Author : Robert Zwanzig
Publisher : Oxford University Press
Page : 233 pages
File Size : 50,6 Mb
Release : 2001-04-19
Category : Science
ISBN : 9780198032151

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Nonequilibrium Statistical Mechanics by Robert Zwanzig Pdf

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.

Author : Carolyn M. Van Vliet
Publisher : World Scientific
Page : 987 pages
File Size : 52,9 Mb
Release : 2008
Category : Science
ISBN : 9789812704771

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Equilibrium and Non-equilibrium Statistical Mechanics by Carolyn M. Van Vliet Pdf

This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.

Author : Horacio S. Wio
Publisher : World Scientific Publishing Company Incorporated
Page : 217 pages
File Size : 47,7 Mb
Release : 1994-01-01
Category : Science
ISBN : 9810215711

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An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics by Horacio S. Wio Pdf

Author : John Cardy,Gregory Falkovich,K. Gawędzki
Publisher : Cambridge University Press
Page : 180 pages
File Size : 41,6 Mb
Release : 2008-12-11
Category : Mathematics
ISBN : 0521715148

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Non-equilibrium Statistical Mechanics and Turbulence by John Cardy,Gregory Falkovich,K. Gawędzki Pdf

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

Author : Noëlle Pottier
Publisher : Oxford University Press
Page : 512 pages
File Size : 45,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9780199556885

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Nonequilibrium Statistical Physics by Noëlle Pottier Pdf

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.

Author : Horacio Sergio Wio
Publisher : World Scientific
Page : 233 pages
File Size : 53,5 Mb
Release : 1994-02-07
Category : Science
ISBN : 9789814502658

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An Introduction To Stochastic Processes And Nonequilibrium Statistical Physics by Horacio Sergio Wio Pdf

The purpose of this textbook is to bring together, in a self-contained introductory form, the scattered material in the field of stochastic processes and statistical physics. It offers the opportunity of being acquainted with stochastic, kinetic and nonequilibrium processes. Although the research techniques in these areas have become standard procedures, they are not usually taught in the normal courses on statistical physics. For students of physics in their last year and graduate students who wish to gain an invaluable introduction on the above subjects, this book is a necessary tool.

Author : Andrei G. Bashkirov
Publisher : CRC Press
Page : 180 pages
File Size : 41,6 Mb
Release : 1995-03-09
Category : Science
ISBN : 0849328608

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Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems by Andrei G. Bashkirov Pdf

There is a wide variety of heterogeneous fluid systems that possess interphase surfaces. This monograph is devoted to pioneering studies in nonequilibrium statistical mechanics of such systems. Starting from the Liouville equation, the equations of surface hydrodynamics are derived with allowance for discontinuities of thermodynamic parameters of interphase boundaries. Brownian motion of a large solid particle in a fluid and nucleation are treated as results of fluctuations of flows across particle surfaces. With the use of the Gibbs method, a shock wave in a gas is considered as a sort of an interphase surface, and the surface tension of a shock front is introduced for the first time.