English

Ergodicity of some open systems with particle-disk interactions

Mathematical Physics 2013-01-18 v1 Dynamical Systems math.MP

Abstract

We consider steady states for a class of mechanical systems with particle-disk interactions coupled to two, possibly unequal, heat baths. We show that any steady state that satisfies some natural assumptions is ergodic and absolutely continuous with respect to a Lebesgue-type reference measure and conclude that there exists at most one absolutely continuous steady state.

Keywords

Cite

@article{arxiv.1301.4034,
  title  = {Ergodicity of some open systems with particle-disk interactions},
  author = {Tatiana Yarmola},
  journal= {arXiv preprint arXiv:1301.4034},
  year   = {2013}
}
R2 v1 2026-06-21T23:11:04.957Z