Statistical Thermodynamics of Nonequilibrium Processes

Statistical Thermodynamics of Nonequilibrium Processes PDF Author: Joel Keizer
Publisher: Springer Science & Business Media
ISBN: 1461210542
Category : Science
Languages : en
Pages : 517

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Book Description
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.

Statistical Thermodynamics of Nonequilibrium Processes

Statistical Thermodynamics of Nonequilibrium Processes PDF Author: Joel Keizer
Publisher: Springer Science & Business Media
ISBN: 1461210542
Category : Science
Languages : en
Pages : 517

Get Book

Book Description
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.

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics PDF Author: Robert Zwanzig
Publisher: Oxford University Press, USA
ISBN: 0195140184
Category : Science
Languages : en
Pages : 233

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Book Description
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.

Nonequilibrium Statistical Thermodynamics

Nonequilibrium Statistical Thermodynamics PDF Author: Bernard H. Lavenda
Publisher: Courier Dover Publications
ISBN: 0486833127
Category : Science
Languages : en
Pages : 225

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Book Description
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.

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics PDF Author: Gene F. Mazenko
Publisher: John Wiley & Sons
ISBN: 3527618961
Category : Science
Languages : en
Pages : 492

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Book Description
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.

Elements of Nonequilibrium Statistical Mechanics

Elements of Nonequilibrium Statistical Mechanics PDF Author: V. Balakrishnan
Publisher: Springer
ISBN: 9783030622350
Category : Science
Languages : en
Pages : 314

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Book Description
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.

Non-Equilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics PDF Author: Ilya Prigogine
Publisher: Courier Dover Publications
ISBN: 0486815552
Category : Science
Languages : en
Pages : 337

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Book Description
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.

Equilibrium and Non-Equilibrium Statistical Thermodynamics

Equilibrium and Non-Equilibrium Statistical Thermodynamics PDF Author: Michel Le Bellac
Publisher: Cambridge University Press
ISBN: 9780521821438
Category : Science
Languages : en
Pages : 646

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Book Description
Publisher Description

Statistical Mechanics of Nonequilibrium Liquids

Statistical Mechanics of Nonequilibrium Liquids PDF Author: Denis J. Evans
Publisher: ANU E Press
ISBN: 1921313234
Category : Science
Languages : en
Pages : 318

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Book Description
"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 Thermodynamics and Statistical Mechanics

Non-equilibrium Thermodynamics and Statistical Mechanics PDF Author: Phil Attard
Publisher: Oxford University Press
ISBN: 0199662762
Category : Science
Languages : en
Pages : 479

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Book Description
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--

Nonequilibrium Statistical Physics

Nonequilibrium Statistical Physics PDF Author: Roberto Livi
Publisher: Cambridge University Press
ISBN: 1107049547
Category : Science
Languages : en
Pages : 439

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