Mathematical Foundations of Classical Statistical Mechanics

by D.Ya. Petrina, V.I. Gerasimenko, P V Malyshev

Overview

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

Product Details

ISBN-13:	9781040214664
Publisher:	CRC Press
Publication date:	04/11/2002
Sold by:	Barnes & Noble
Format:	eBook
Pages:	352
File size:	861 KB

About the Author

D.Ya. Petrina, V.I. Gerasimenko, P V Malyshev

Table of Contents

Problem for the BBGKY Hierarchy. Equilibrium States. Canonical Ensemble. Equilibrium States. Grand Canonical Ensemble. Thermodynamic Limit for Non-equilibrium Systems. Appendix 1: Stationary Solutions of the BBGKY Hierarchy of Equations. Appendix 2: Existence of the Hamiltonian Dynamics of Infinitely Many Particles. References. Index.

Editorial Reviews

"[A] good reference in which many classical and profound results of both equilibrium and nonequilibrium statistical mechanics are collected and presented in a unified way."
- SIAM Review, Vol. 46, No. 1

From the Publisher