Nonequilibrium Statistical Thermodynamics

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Nonequilibrium Statistical Mechanics

Robert Zwanzig
Nonequilibrium Statistical Mechanics Book PDF

Author : Robert Zwanzig
Publisher : Oxford University Press, USA
Page : 233 pages
File Size : 49,6 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.

Statistical Thermodynamics of Nonequilibrium Processes

Joel Keizer
Statistical Thermodynamics of Nonequilibrium Processes Book PDF

Author : Joel Keizer
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 47,8 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.

Equilibrium and Non-Equilibrium Statistical Thermodynamics

Michel Le Bellac,Fabrice Mortessagne,G. George Batrouni
Equilibrium and Non Equilibrium Statistical Thermodynamics Book PDF

Author : Michel Le Bellac,Fabrice Mortessagne,G. George Batrouni
Publisher : Cambridge University Press
Page : 646 pages
File Size : 55,6 Mb
Release : 2004-04-08
Category : Science
ISBN : 0521821436

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Equilibrium and Non-Equilibrium Statistical Thermodynamics by Michel Le Bellac,Fabrice Mortessagne,G. George Batrouni Pdf

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Nonequilibrium Statistical Thermodynamics

Bernard H. Lavenda
Nonequilibrium Statistical Thermodynamics Book PDF

Author : Bernard H. Lavenda
Publisher : Courier Dover Publications
Page : 225 pages
File Size : 49,9 Mb
Release : 2019-04-17
Category : Science
ISBN : 9780486833125

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Nonequilibrium Statistical Thermodynamics by Bernard H. Lavenda Pdf

This book develops in detail the statistical foundations of nonequilibrium thermodynamics, based on the mathematical theory of Brownian motion. Author Bernard H. Lavenda demonstrates that thermodynamic criteria emerge in the limit of small thermal fluctuations and in the Gaussian limit where means and modes of the distribution coincide. His treatment assumes the theory of Brownian motion to be a general and practical model of irreversible processes that are inevitably influenced by random thermal fluctuations. This unifying approach permits the extraction of widely applicable principles from the analysis of specific models. Arranged by argument rather than theory, the text is based on the premises that random thermal fluctuations play a decisive role in governing the evolution of nonequilibrium thermodynamic processes and that they can be viewed as a dynamic superposition of many random events. Intended for nonmathematicians working in the areas of nonequilibrium thermodynamics and statistical mechanics, this book will also be of interest to chemical physicists, condensed matter physicists, and readers in the area of nonlinear optics.

Elements of Nonequilibrium Statistical Mechanics

V. Balakrishnan
Elements of Nonequilibrium Statistical Mechanics Book PDF

Author : V. Balakrishnan
Publisher : Unknown
Page : 0 pages
File Size : 43,7 Mb
Release : 2021
Category : Electronic
ISBN : 3030622347

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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.

Statistical Mechanics of Nonequilibrium Liquids

Denis J. Evans,Gary P. Morriss
Statistical Mechanics of Nonequilibrium Liquids Book PDF

Author : Denis J. Evans,Gary P. Morriss
Publisher : ANU E Press
Page : 318 pages
File Size : 49,7 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.

Non-Equilibrium Statistical Mechanics

Ilya Prigogine
Non Equilibrium Statistical Mechanics Book PDF

Author : Ilya Prigogine
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 49,8 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.

Nonequilibrium Statistical Physics

Roberto Livi,Paolo Politi
Nonequilibrium Statistical Physics Book PDF

Author : Roberto Livi,Paolo Politi
Publisher : Cambridge University Press
Page : 439 pages
File Size : 44,7 Mb
Release : 2017-10-05
Category : Science
ISBN : 9781107049543

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Nonequilibrium Statistical Physics by Roberto Livi,Paolo Politi Pdf

A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.

An Introduction to Chaos in Nonequilibrium Statistical Mechanics

J. R. Dorfman
An Introduction to Chaos in Nonequilibrium Statistical Mechanics Book PDF

Author : J. R. Dorfman
Publisher : Cambridge University Press
Page : 303 pages
File Size : 46,7 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.

Non-equilibrium Thermodynamics and Statistical Mechanics

Phil Attard
Non equilibrium Thermodynamics and Statistical Mechanics Book PDF

Author : Phil Attard
Publisher : Oxford University Press
Page : 479 pages
File Size : 46,6 Mb
Release : 2012-10-04
Category : Science
ISBN : 9780199662760

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Non-equilibrium Thermodynamics and Statistical Mechanics by Phil Attard Pdf

This title builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph--

Equilibrium and Non-equilibrium Statistical Mechanics

Carolyn M. Van Vliet
Equilibrium and Non equilibrium Statistical Mechanics Book PDF

Author : Carolyn M. Van Vliet
Publisher : World Scientific
Page : 987 pages
File Size : 45,5 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.

Non-equilibrium Statistical Thermodynamics

Xavier de Hemptinne
Non equilibrium Statistical Thermodynamics Book PDF

Author : Xavier de Hemptinne
Publisher : World Scientific
Page : 304 pages
File Size : 53,6 Mb
Release : 1992
Category : Science
ISBN : 9810209266

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Non-equilibrium Statistical Thermodynamics by Xavier de Hemptinne Pdf

This book stresses the role of uncorrelated exchange of properties between macroscopic systems and their surroundings as the only source of dynamic irreversibility. To that end, fundamentals of statistical thermodynamics extended to the non-equilibrium are worked out carefully. The principles are then applied to selected problems in classical fluid dynamics. Transport coefficients are first derived from basic laws. This is followed by a full discussion of transitions to dissipative structures in selected systems far removed from equilibrium (B‚nard and Taylor vortices, calculation of the critical Reynolds number for transition to turbulence in Poiseuille flow). The final part focuses on interaction of matter with light. Fundamentals are extended towards quantum-mechanical systems. Applied to coherent radiation and its interaction with matter, the proposed thermodynamic treatment introduces an original discussion into the quantum nature of micro-physics.The book questions and reconsiders a deeply rooted paradigm in macroscopic dynamics concerning the cause of irreversibility. The new proposal is illustrated by application to a couple of well documented non-equilibrium domains, namely fluid dynamics and laser physics.

Nonequilibrium Statistical Mechanics

Byung Chan Eu
Nonequilibrium Statistical Mechanics Book PDF

Author : Byung Chan Eu
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 41,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9789401724388

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Nonequilibrium Statistical Mechanics by Byung Chan Eu Pdf

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.

Statistical Physics II

R. Kubo,M. Toda,N. Hashitsume
Statistical Physics II Book PDF

Author : R. Kubo,M. Toda,N. Hashitsume
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642967016

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Statistical Physics II by R. Kubo,M. Toda,N. Hashitsume Pdf

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.

Nonequilibrium Statistical Physics of Small Systems

Rainer Klages,Wolfram Just,Christopher Jarzynski
Nonequilibrium Statistical Physics of Small Systems Book PDF

Author : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 43,8 Mb
Release : 2013-03-15
Category : Science
ISBN : 9783527658725

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Nonequilibrium Statistical Physics of Small Systems by Rainer Klages,Wolfram Just,Christopher Jarzynski Pdf

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.