On ergodicity of a system with two types of interacting particles

L. G. Afanas'eva^a, E. M. Ginzburg<sup>b

a</sup> M. V. Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State Academy of Fine Chemical Technology

Abstract: A system with two types of particles placed in $N$ cells is considered. The first type particles arrive at the system in accordance with a Poisson process. There are $V<N$ particles of the second type in the system, which destroy the first type particles. The ergodicity condition for the Markov chain which describes the behaviour of the system is proved.

UDC: 519.217.2

Received: 01.06.2000

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