Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics : Volume 1. Nonrelativistic Theories / by Byung Chan Eu.

Format:

Book

Author/Creator:

Eu, Byung Chan., Author.

Language:

English

Subjects (All):

Thermodynamics.

Statistical physics.

Dynamics.

Physics.

Complex Systems.

Mathematical Methods in Physics.

Statistical Physics and Dynamical Systems.

Local Subjects:

Thermodynamics.

Complex Systems.

Mathematical Methods in Physics.

Statistical Physics and Dynamical Systems.

Physical Description:

1 online resource (XIV, 603 p. 15 illus., 4 illus. in color.)

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2016.

Summary:

This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on relativistic theories, it provides a comprehensive picture of the kinetic theory formulated from the viewpoint of nonequilibrium ensembles in both nonrelativistic and, in Vol. 2, relativistic contexts. Theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids) on the basis of irreversible kinetic equations satisfying the H theorem. They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. Both irreversible Boltzmann and generalized Boltzmann equations are used for deriving theories of irreversible transport equations and generalized hydrodynamic equations, which rigorously conform to the tenet. All observables described by the so-formulated theories therefore also strictly obey the tenet.

Contents:

Introduction

I Nonrelativistic Theories

Thermodynamic Theory of Irreversible Processes

Boltzmann Kinetic Equation

Equilibrium Ensemble Method

Boltzmann-like Equation for Moderately Dense Gases

Kinetic Theory of a Simple Dense Fluid

Kinetic Theory of a Dense Simple Fluid Mixture

Classical Scattering Theory in Phase Space

Generalized Hydrodynamics and Transport Processes

II Essays on Equilibrium Theories

Molecular Theory of Liquid Mixtures: Equilibrium Properties

Equilibrium Pair Correlation Functions.

Notes:

Includes bibliographical references at the end of each chapters and index.

ISBN:

3-319-41147-0