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

Mathematical foundations of classical statistical mechanics: continuous systems. Transl. from the Russian by P. V. Malyshev and D. V. Malyshev. (English) Zbl 0728.46053

Advanced Studies in Contemporary Mathematics Series, 6. New York etc.: Gordon and Breach Science Publishers. xvii, 338 p. (1989).
This book is reviewed together with the Russian original below.
Reviewer: V.Zagrebnov (Dubna)

Cited in 4 Reviews
Cited in 10 Documents

MSC:

46N55 Applications of functional analysis in statistical physics
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
82B03 Foundations of equilibrium statistical mechanics
82B05 Classical equilibrium statistical mechanics (general)
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
82C03 Foundations of time-dependent statistical mechanics
82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics
82C40 Kinetic theory of gases in time-dependent statistical mechanics

Keywords:

evolution; functional approach to classical statistical mechanics of continuous systems; dynamics of classical systems of particles; Cauchy problem for the Liouville equation; reduced probability distribution functions; BBGKY hierarchy of equations; infinite particle Hamiltonian dynamis; infinite systems of classical particles; smooth pair potential with hard core
Cite Review PDF