Mathematical Foundations Of Classical Statistical Mechanics
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Mathematical Foundations of Classical Statistical Mechanics
This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey of results is also included; it concerns the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes to reflect the development of theory in the last ten years. They have also simplified certain sections, presenting them more systematically, and greatly increased the number of references. The book is aimed at theoretical physicists and mathematicians and will also be of use to students and postgraduate students in the field.
Mathematical Foundations of Statistical Mechanics
Author: Aleksandr I?Akovlevich Khinchin
language: en
Publisher: Courier Corporation
Release Date: 1949-01-01
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.
Mathematical Foundations of Classical Statistical Mechanics
Introducing the functional method practiced in the USSR, this well- translated monograph considers the problem of investigating systems of infinite numbers of particles. It discusses the equilibrium and non- equilibrium states of infinite classical statistical systems, and investigates the thermodynamic limit for non-equilibrium systems and of the states of infinite systems, for which thermodynamic equivalence is proved. Book club price, $95. Annotation copyrighted by Book News, Inc., Portland, OR