Convergence to equilibrium due to collisions with external particles

A.A. Lykov, V.A. Malyshev

2018, v.24, №2, 197-227

ABSTRACT

We consider a class of most non ergodic'' particle systems and prove
that for most of them ergodicity appears if only one particle of $N$ has
contact with external world, that is this particle collides with
external particles in random time moments.

Keywords: Boltzmann hypothesis, ergodicity, particle systems, collisions