Stationary States of Boundary Driven Exclusion Processes with Nonreversible Boundary Dynamics



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.


Nonequilibrium stationary states Boundary driven interacting particle systems Hydrostatics 



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. 1.IMPARio de JaneiroBrazil
  2. 2.CNRS UMR 6085, Université de RouenMont-Saint-AignanFrance

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