Eu B.C. Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Hydrodynamics: Volume 1. Nonrelativistic Theories

Springer International Publishing, Switzerland, 2016. – 609 p. – ISBN: 9783319411460This 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.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
Essays on Equilibrium Theories
Molecular Theory of Liquid Mixtures: Equilibrium Properties
Equilibrium Pair Correlation Functions
Appendix: List of Symbols (Volume 1)