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Journal of Statistical Physics

, Volume 171, Issue 4, pp 599–631 | Cite as

Stationary States of Boundary Driven Exclusion Processes with Nonreversible Boundary Dynamics

  • C. Erignoux
  • C. Landim
  • T. Xu
Article
  • 40 Downloads

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.

Keywords

Nonequilibrium stationary states Boundary driven interacting particle systems Hydrostatics 

Notes

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

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

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