Mathematical Foundations of Classical Statistical Mechanics
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A01=D.Ya. Petrina
A01=P V Malyshev
A01=V.I. Gerasimenko
Abstract Evolution Equation
advanced mathematical physics
Arbitrary Compact Set
Author_D.Ya. Petrina
Author_P V Malyshev
Author_V.I. Gerasimenko
Auxiliary Function
BBGKY Hierarchy
Bogolyubov equations
Canonical Ensemble
Category=PBC
Category=PBT
Category=PHD
Cauchy Problem
Compact Sets
Correlation Functions
Distribution Functions
Entire Configuration Space
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Equilibrium Correlation
Equilibrium Correlation Functions
Function DN
Gibbs Distribution
Grand Canonical
Grand Canonical Ensemble
Grand Partition Function
Hamiltonian systems
Hard Spheres
Holomorphic Function
infinite particle systems
Infinite Systems
Infinitesimal Generator
Liouville Equation
non-equilibrium dynamics
Phase Space
Poisson Bracket
statistical physics theory
Thermodynamic Limit
thermodynamic limit analysis
Product details
- ISBN 9780415273541
- Weight: 657g
- Dimensions: 156 x 234mm
- Publication Date: 11 Apr 2002
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
D.Ya. Petrina, V.I. Gerasimenko, P V Malyshev
