Mathematical Foundations of Classical Statistical Mechanics: Continuous Systems (Advanced Studies in Contemporary Mathematics) - Hardcover

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

Hardcover

ISBN 10: 2881246818 ISBN 13: 9782881246814

Publisher: Routledge, 1989

Synopsis

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.

About this title

About the Author

D. Ya. Petrina is a full Professor, Corresponding Member of the National Academy of Sciences of Ukraine, Head of the Department of Mathematical Methods of Statistical Mechanics of Kiev Institute of Mathematics.

Language Notes

Text: English, Russian (translation)

Edition details

• Publisher: Routledge
• Publication date: 1989
• Language: English
• ISBN 10: 2881246818
• ISBN 13: 9782881246814
• Binding: Hardcover
• Edition number: 1
• Number of pages: 338