Sub-exponential Mixing of Open Systems with Particle-Disk Interactions

Yarmola, Tatiana

In: Journal of Statistical Physics, 2014, vol. 156, no. 3, p. 473-492

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    We consider a class of mechanical particle systems with deterministic particle-disk interactions coupled to Gibbs heat reservoirs at possibly different temperatures. We show that there exists a unique (non-equilibrium) steady state. This steady state is mixing, but not exponentially mixing, and all initial distributions converge to it. In addition, for a class of initial distributions, the rates of converge to the steady state are sub-exponential.