© 2016

Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics

Volume 1. Nonrelativistic Theories


Table of contents

  1. Front Matter
    Pages i-xiv
  2. Byung Chan Eu
    Pages 1-9
  3. Nonrelativistic Theories

    1. Front Matter
      Pages 11-11
    2. Byung Chan Eu
      Pages 61-136
    3. Byung Chan Eu
      Pages 137-155
    4. Byung Chan Eu
      Pages 213-319
    5. Byung Chan Eu
      Pages 429-462
    6. Back Matter
      Pages 531-533
  4. Essays on Equilibrium Theories

    1. Front Matter
      Pages 535-535
    2. Byung Chan Eu
      Pages 561-583
  5. Back Matter
    Pages 585-603

About this book


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.


Nonequilibrium thermodynamics Nonequilibrium statistical mechanics Nonrelativistic kinetic theory Postulational kinetic theories Time-reversal symmetry breakling Irreversible transport processes Simple dense fluid Simple fluid mixture Generalized hydrodynamic equations

Authors and affiliations

  1. 1.Dept. of ChemistryMcGill UniversityMontrealCanada

About the authors

The author Byung Chan Eu received a BSc degree from Seoul National University, Korea and a PhD degree from Brown University, USA. After a research fellowship at Harvard University he has been on the staff of the Chemistry Department, McGill University since 1967. At present he is a professor emeritus carrying on research. He has served as an adjunct professor at the Korea Institute of Advanced Science and as either visiting professor or visiting scholar at MIT, Standford University, Korea Advanced Institute of Science and Technology, and Université Libre de Bruxelles. He is the author of 5 monographs on kinetic theory, nonequilibrium statistical mechanics, generalized thermodynamics, transport processes of fluids, semiclassical theory of molecular scattering, and a textbook on chemical thermodynamics and numerous original papers on scattering theories, kinetic theories, statistical mechanics, transport coefficients, and fluid mechanics in the leading journals of the fields.

Bibliographic information