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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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    Title
    • Sub-exponential Mixing of Open Systems with Particle-Disk Interactions
    Author
    • Yarmola, Tatiana. Department of Theoretical Physics, University of Geneva, Ecole de Physique, 24 quai-Ernest-Ansermet, 1211, Geneva 4, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Journal of Statistical Physics, 2014, vol. 156, no. 3, p. 473-492. Springer US; http://www.springer-ny.com
    Other Version
    Classification
    • Mathematics
    OAI-PMH Identifier
    • oai:doc.rero.ch:326569
    Summary
    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.