This article is cited in 4 papers

Mathematical description of the evolution of an infinite classical system

P. V. Malyshev


Abstract: An infinite one-dimensional system of hard spheres is considered. The existence of thermodynamic limit for the solutions of the Cauchy problem for the Bogoliubov equations is proved in the case of arbitrary momenta and binary finite range potential of interaction. The solution is constructed for the initial data which are a local perturbation of the equilibrium thermodynamic functions.

Received: 09.04.1979

 English version: Theoretical and Mathematical Physics, 1980, 44:1, 603–611

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