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.
Citation:
P. V. Malyshev, “Mathematical description of the evolution of an infinite classical system”, TMF, 44:1 (1980), 63–74; Theoret. and Math. Phys., 44:1 (1980), 603–611
This publication is cited in the following 4 articles:
Janusz Szczepański, “On the basis of statistical mechanics. The Liouville equation for systems with an infinite countable number of degrees of freedom”, Physica A: Statistical Mechanics and its Applications, 157:2 (1989), 955
R. L. Dobrushin, Ya. G. Sinai, Yu. M. Sukhov, Encyclopaedia of Mathematical Sciences, 2, Dynamical Systems II, 1989, 208
D. Ya. Petrina, V. I. Gerasimenko, “A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics”, Russian Math. Surveys, 38:5 (1983), 1–61
V. P. Maslov, S. È. Tariverdiev, “Asymptotics of the Kolmogorov–Feller equation for a system of a large number of particles”, J. Soviet Math., 23:5 (1983), 2553–2579
Citation in format AMSBIB
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