Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field

1 July 1976

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 61, 1-57
https://doi.org/10.1017/s0027763000017281

Abstract

The ergodicity of classical dynamical systems which appear really in the statistical mechanics was discussed by Ya. G. Sinai [9]. He announced that the dynamical system of particles with central potential of special type in a rectangular box is ergodic. However no proofs have been given yet. Sinai [11] has given a proof of the ergodicity of a simple one-particle model which is called a Sinai billiard system.

Keywords

This publication has 5 references indexed in Scilit:

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