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Within the framework of Jaynes' "Predictive Statistical Mechanics,"
this book presents a detailed derivation of an ensemble formalism
for open systems arbitrarily away from equilibrium. This involves a
large systematization and extension of the fundamental works and
ideas of the outstanding pioneers Gibbs and Boltzmann, and of
Bogoliubov, Kirkwood, Green, Mori, Zwanzig, Prigogine and Zubarev,
among others.
Chapters 1 to 5 include a description of the philosophy,
foundations, and construction (methodology) of the formalism,
including the derivation of a nonequilibrium grand-canonical
ensemble for far-from-equilibrium systems as well as the derivation
of a quantum nonlinear kinetic theory and a response function
theory together with a theory of scattering. In chapter 6
applications of the theory are cataloged, making comparisons with
experimental data (a basic step for the validation of any theory).
Chapter 7 is devoted to the description of irreversible
thermodynamics, providing a far-reaching generalization of
Informational-Statistical Thermodynamics. The last chapter gives an
overall picture of the formalism, and questions and criticisms
related to it are discussed.
Audience: This book is directed at an audience of researchers in
the field of Statistical Mechanics and Thermodynamics of open
nonequilibrium systems. In addition, it is relevant for the study
of far-from-equilibrium processes in condensed matter, particularly
semiconductor physics, as well as molecular Hydrodynamics,
Rheology, many-body systems with complex behavior and areas of
engineering, etc. The book can also be used as a complement to
advanced graduate courses in Statistical Mechanics.
Within the framework of Jaynes' "Predictive Statistical Mechanics,"
this book presents a detailed derivation of an ensemble formalism
for open systems arbitrarily away from equilibrium. This involves a
large systematization and extension of the fundamental works and
ideas of the outstanding pioneers Gibbs and Boltzmann, and of
Bogoliubov, Kirkwood, Green, Mori, Zwanzig, Prigogine and Zubarev,
among others.
Chapters 1 to 5 include a description of the philosophy,
foundations, and construction (methodology) of the formalism,
including the derivation of a nonequilibrium grand-canonical
ensemble for far-from-equilibrium systems as well as the derivation
of a quantum nonlinear kinetic theory and a response function
theory together with a theory of scattering. In chapter 6
applications of the theory are cataloged, making comparisons with
experimental data (a basic step for the validation of any theory).
Chapter 7 is devoted to the description of irreversible
thermodynamics, providing a far-reaching generalization of
Informational-Statistical Thermodynamics. The last chapter gives an
overall picture of the formalism, and questions and criticisms
related to it are discussed.
Audience: This book is directed at an audience of researchers in
the field of Statistical Mechanics and Thermodynamics of open
nonequilibrium systems. In addition, it is relevant for the study
of far-from-equilibrium processes in condensed matter, particularly
semiconductor physics, as well as molecular Hydrodynamics,
Rheology, many-body systems with complex behavior and areas of
engineering, etc. The book can also be used as a complement to
advanced graduate courses in Statistical Mechanics.
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