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Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics - Volume 1. Nonrelativistic Theories (Hardcover, 1st ed. 2016)
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Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics - Volume 1. Nonrelativistic Theories (Hardcover, 1st ed. 2016)
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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.
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