Non-Equilibrium Statistical Mechanics

Front Cover
Courier Dover Publications, Mar 17, 2017 - Science - 336 pages

Ilya Prigogine won the 1977 Nobel Prize in Chemistry for his contributions to non-equilibrium thermodynamics. This groundbreaking 1962 monograph, written for researchers and graduate students in this field, was his first book-length contribution to this subject.
Suitable for advanced undergraduates and graduate students in physics and chemistry, the treatment begins with examinations of the Liouville equation, anharmonic solids, and Brownian motion. Subsequent chapters explore weakly coupled gases, scattering theory and short-range forces, distribution functions and their diagrammatic representation, the time dependence of diagrams, the approach to equilibrium in ionized gases, and statistical hydrodynamics. Additional topics include general kinetic equations, general H-theorem, quantum mechanics, and irreversibility and invariants of motion. Appendices, a bibliography, list of symbols, and an index conclude the text.
Dover (2017) republication of the edition originally published by Interscience Publishers, New York, 1962.
www.doverpublications.com

 

Selected pages

Contents

Introduction
1
The Liouville Equation
13
Anharmonic Solids
36
Brownian Motion
67
Weakly Coupled Gases
86
Approach to Equilibrium in Weakly Coupled Gases
106
Scattering Theory and ShortRange Forces
113
The Diagram Representation
138
General Kinetic Equations
226
General HTheorem
244
Quantum Mechanics
257
Irreversibility and Invariants of Motion
265
Laguerre Functions and Bessel Functions
279
Derivation of the Master Equation by TimeIndependent
291
General Theory of Anharmonic Oscillators
297
Bibliography
308

The Time Dependence of Diagrams
164
Approach to Equilibrium in Ionized Gases
196
Statistical Hydrodynamics
211
Index
317
Copyright

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Non-Equilibrium Statistical Mechanics
Ilya Prigogine
Limited preview - 2017
Non-equilibrium Statistical Mechanics
Ilya Prigogine
Snippet view - 1962
Non-equilibrium Statistical Mechanics
Ilya Prigogine
Snippet view - 1962
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Common terms and phrases

action-angle variables analytic approach to equilibrium arbitrary articulation point asymptotic Balescu Boltzmann equation Brownian motion Chapter classical collision condition contribution coordinates correlations corresponding degrees of freedom density dependence derived destruction region diagonal fragments diagrams of Fig duration eigenfunctions energy equilibrium statistical mechanics evolution example expression factor finite Fokker-Planck equation formula Fourier coefficients Fourier transform H-theorem Hamiltonian hydrodynamic inhomogeneity integral interaction introduce invariants k₁ kk'k Laguerre polynomials Let us consider Liouville equation Liouville operator master equation matrix element molecular molecular chaos molecules momenta N-body problem normal modes notation obtain oscillators P₁ particles phase space Po(t Prigogine problem propagation quantum mechanics reduced distribution functions relation Résibois scattering singularity situations solution summation theorem theory tint tion transition unperturbed V₁ valid values vanishes variables velocity distribution function vertex wave vectors weakly coupled gases weakly coupled systems α α ΣΣ

About the author (2017)

Russian-born Ilya Prigogine (1917–2003) taught at the Free University of Brussels, the University of Texas at Austin, and other institutions. For his work on non-equilibrium thermodynamics, and especially his work on dissipative structures, he won the 1977 Nobel Prize in Chemistry.

Bibliographic information

TitleNon-Equilibrium Statistical Mechanics
Dover Books on Physics
AuthorIlya Prigogine
Editionillustrated, reprint
PublisherCourier Dover Publications, 2017
ISBN0486815552, 9780486815558
Length336 pages
Subjects ›  › 

Science / Mechanics / General
Science / Physics / Mathematical & Computational
  
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