Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems

Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems PDF

Author: Andrei G. Bashkirov

Publisher: CRC Press

Published: 2020-10-07

Total Pages: 176

ISBN-13: 1000102653

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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.

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics PDF

Author: Byung Chan Eu

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 405

ISBN-13: 9401724385

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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.

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics PDF

Author: Gene F. Mazenko

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 492

ISBN-13: 3527618961

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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.

Statistical Mechanics of Nonequilibrium Liquids

Statistical Mechanics of Nonequilibrium Liquids PDF

Author: Denis J. Evans

Publisher: ANU E Press

Published: 2007-08-01

Total Pages: 318

ISBN-13: 1921313234

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"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.

The Nonequilibrium Statistical Mechanics of Open and Closed Systems

The Nonequilibrium Statistical Mechanics of Open and Closed Systems PDF

Author: Katja Lindenberg

Publisher: Wiley-VCH

Published: 1990

Total Pages: 472

ISBN-13:

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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.

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics PDF

Author: Robert Zwanzig

Publisher: Oxford University Press, USA

Published: 2001-05-17

Total Pages: 233

ISBN-13: 0195140184

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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.

A Non-Equilibrium Statistical Mechanics

A Non-Equilibrium Statistical Mechanics PDF

Author: Tian-Quan Chen

Publisher: World Scientific

Published: 2003-07-07

Total Pages: 436

ISBN-13: 9814485926

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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

Non-equilibrium Thermodynamics of Heterogeneous Systems

Non-equilibrium Thermodynamics of Heterogeneous Systems PDF

Author: Signe Kjelstrup

Publisher: World Scientific Publishing Company Incorporated

Published: 2008

Total Pages: 434

ISBN-13: 9812779132

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"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.

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