Nonequilibrium Statistical Mechanics Of Heterogeneous Fluid Systems

Author : Andrei G. Bashkirov
Publisher : CRC Press
Page : 176 pages
File Size : 47,8 Mb
Release : 2020-10-07
Category : Science
ISBN : 9781000102659

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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.

Author : Denis J. Evans,Gary P. Morriss
Publisher : ANU E Press
Page : 318 pages
File Size : 48,9 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 : James A. McLennan
Publisher : Unknown
Page : 392 pages
File Size : 49,9 Mb
Release : 1989
Category : Science
ISBN : UOM:39015017230569

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Introduction to Nonequilibrium Statistical Mechanics by James A. McLennan Pdf

Author : Robert Zwanzig
Publisher : Oxford University Press
Page : 233 pages
File Size : 51,8 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 : Katja Lindenberg,Bruce J. West
Publisher : Wiley-VCH
Page : 472 pages
File Size : 53,6 Mb
Release : 1990
Category : Science
ISBN : UOM:39015019819872

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The Nonequilibrium Statistical Mechanics of Open and Closed Systems by Katja Lindenberg,Bruce J. West Pdf

This is the first unified treatment of the properties of thermodynamically open and closed systems. It provides the theory and methodology that are necessary to understand nonlinear processes. The section on Classical Systems covers topics ranging from the evolution of probability to open and closed systems and non-Hamiltonian systems. The concluding section on Quantum Systems is equally detailed, treating the evolution of quantum systems, c-number fluctuations and operator fluctuations. The material covered is applicable to weather systems, ocean currents, dye lasers and many other nonequilibrium systems. The text is also suitable for students in graduate course. Numerous physical chemical examples facilitate self-study.

Author : Gene F. Mazenko
Publisher : John Wiley & Sons
Page : 492 pages
File Size : 45,6 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527618965

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Nonequilibrium Statistical Mechanics by Gene F. Mazenko Pdf

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.

Author : Tian-Quan Chen
Publisher : World Scientific
Page : 436 pages
File Size : 54,6 Mb
Release : 2003-07-07
Category : Mathematics
ISBN : 9789814485920

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A Non-Equilibrium Statistical Mechanics by Tian-Quan Chen Pdf

This book presents the construction of an asymptotic technique for solving the Liouville equation, which is to some degree an analogue of the Enskog–Chapman technique for solving the Boltzmann equation. Because the assumption of molecular chaos has been given up at the outset, the macroscopic variables at a point, defined as arithmetic means of the corresponding microscopic variables inside a small neighborhood of the point, are random in general. They are the best candidates for the macroscopic variables for turbulent flows. The outcome of the asymptotic technique for the Liouville equation reveals some new terms showing the intricate interactions between the velocities and the internal energies of the turbulent fluid flows, which have been lost in the classical theory of BBGKY hierarchy. Contents: H-FunctionalH-Functional EquationK-FunctionalSome Useful FormulasTurbulent Gibbs DistributionsEuler K-Functional EquationFunctionals and DistributionsLocal Stationary Liouville EquationSecond Order Approximate SolutionsA Finer K-Functional Equation Readership: Researchers in mathematical and statistical physics. Keywords:H-Functional;K-Functional;Turbulent Gibbs Distributions;Turbulent Gibbs Measures;H-Functional Equation;Euler K-Functional;Finer K-Functional Equation

Author : J. R. Dorfman
Publisher : Cambridge University Press
Page : 303 pages
File Size : 50,8 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 : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 402 pages
File Size : 50,8 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.

Author : Dmitrii Zubarev,Vladimir Morozov,Gerd Röpke
Publisher : Wiley-VCH
Page : 0 pages
File Size : 41,8 Mb
Release : 1997-10-08
Category : Science
ISBN : 3527400842

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Statistical Mechanics of Nonequilibrium Processes, Statistical Mechanics of Nonequilibrium Processes. Volume 2 by Dmitrii Zubarev,Vladimir Morozov,Gerd Röpke Pdf

This is the second part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. The general method of nonequilibrium statistical ensembles developed in the first volume is applied to various problems in linear response theory, relaxation phenomena, hydrodynamics, and the dynamical theory of fluctuations. Some active areas of research are considered, including relaxation processes in highly nonequilibrium systems, kinetic processes in lasers, nonequilibrium many-particle correlations in the Green’s function formalism, superfluid statistical hydrodynamics, large-scale fluctuations in nonequilibrium systems, and statistical mechanics of turbulence. Exercises and problems for readers are also included. The book is self-contained and accessible to students having heard the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.

Author : Vladimir Privman
Publisher : Cambridge University Press
Page : 184 pages
File Size : 53,6 Mb
Release : 1997-02-20
Category : Science
ISBN : 052155974X

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Nonequilibrium Statistical Mechanics in One Dimension by Vladimir Privman Pdf

Self-contained and up-to-date guide to one-dimensional reactions, dynamics, diffusion and adsorption.

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.

Author : Byung Chan Eu
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 45,6 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.

Author : Anonim
Publisher : Unknown
Page : 18 pages
File Size : 50,5 Mb
Release : 1917
Category : Potawatomi Indians
ISBN : OCLC:50705982

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Saint Dominic Original Indian Souvenir by Anonim Pdf

A fundraising publication for the rebuilding of the St. Domonic Church at Rush Lake, the booklet contains a photograph of the church, a portrait of the founder, Fr. Louis Baroux, a brief history of the church and the local Potawatomi people, and anecdotes and poems.

Author : Signe Kjelstrup,Dick Bedeaux
Publisher : World Scientific Publishing Company Incorporated
Page : 434 pages
File Size : 44,5 Mb
Release : 2008
Category : Science
ISBN : 9789812779137

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Non-equilibrium Thermodynamics of Heterogeneous Systems by Signe Kjelstrup,Dick Bedeaux Pdf

"The purpose of this book is to encourage the use of non-equilibrium thermodynamics to describe transport in complex, heterogeneous media. With large coupling effects between the transport of heat, mass, charge and chemical reactions at surfaces, it is important to know how one should properly integrate across systems where different phases are in contact. No other book gives a prescription of how to set up flux equations for transports across heterogeneous systems." "The authors apply the thermodynamic description in terms of excess densities, developed by Gibbs for equilibrium, to non-equilibrium systems. The treatment is restricted to transport into and through the surface. Using local equilibrium together with the balance equations for the surface, expressions for the excess entropy production of the surface and of the contact line are derived. Many examples are given to illustrate how the theory can be applied to coupled transport of mass, heat, charge and chemical reactions; in phase transitions, at electrode surfaces and in fuel cells. Molecular simulations and analytical studies are used to add insight."--BOOK JACKET.