Mathematical Foundations of Classical Statistical Mechanics (Advanced Studies in Contemporary Mathematics) Book

This monograph considers the problem of investigation of systems of infinite number of particles, i.e. the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems defined in terms of stationary and nonstationary solutions to the Bogolubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for nonequilibrium 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. Also included is a comprehensive survey of results concerning the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes reflecting the development of theory in the last ten years. The book is aimed at theoretical physicists and mathematicians and will also be of use to undergraduate and graduate students in the field.Read More