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Stationary States of Boundary Driven Exclusion Processes with Nonreversible Boundary Dynamics

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Abstract

We prove a law of large numbers for the empirical density of one-dimensional, boundary driven, symmetric exclusion processes with different types of non-reversible dynamics at the boundary. The proofs rely on duality techniques.

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Acknowledgements

We thank H. Spohn for suggesting the problem and S. Grosskinsky for fruitful discussions. C. Landim has been partially supported by FAPERJ CNE E-26/201.207/2014, by CNPq Bolsa de Produtividade em Pesquisa PQ 303538/2014-7, and by ANR-15-CE40-0020-01 LSD of the French National Research Agency.

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Authors and Affiliations

  1. IMPA, Estrada Dona Castorina 110, Rio de Janeiro, CEP 22460, Brazil

    C. Erignoux, C. Landim & T. Xu

  2. CNRS UMR 6085, Université de Rouen, Mont-Saint-Aignan, France

    C. Landim

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  1. C. Erignoux
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  2. C. Landim
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  3. T. Xu
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Correspondence to C. Landim.

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Erignoux, C., Landim, C. & Xu, T. Stationary States of Boundary Driven Exclusion Processes with Nonreversible Boundary Dynamics. J Stat Phys 171, 599–631 (2018). https://doi.org/10.1007/s10955-018-2021-1

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  • DOI: https://doi.org/10.1007/s10955-018-2021-1

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