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Ergodicity of Some Open Systems with Particle-Disk Interactions

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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.

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Authors and Affiliations

  1. Department of Mathematics, Mathematics Building, University of Maryland, College Park, MD, 20742, USA

    Tatiana Yarmola

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  1. Tatiana Yarmola
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Correspondence to Tatiana Yarmola.

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Communicated by G. Gallavotti

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Yarmola, T. Ergodicity of Some Open Systems with Particle-Disk Interactions. Commun. Math. Phys. 304, 665–688 (2011). https://doi.org/10.1007/s00220-011-1238-5

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  • DOI: https://doi.org/10.1007/s00220-011-1238-5

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