Journal of Statistical Physics

, Volume 147, Issue 3, pp 519–528

Non-equilibrium Stationary States in the Symmetric Simple Exclusion with Births and Deaths

  • Anna De Masi
  • Errico Presutti
  • Dimitrios Tsagkarogiannis
  • Maria Eulalia Vares


We consider the symmetric simple exclusion process in the interval ΛN:=[−N,N]∩ℤ with births and deaths taking place respectively on suitable boundary intervals I+ and I, as introduced in De Masi et al. (J. Stat. Phys. 144:1151–1170, 2011). We study the stationary measure and its macroscopic density profile in the limit N→∞.


Interacting particle systems Hydrodynamic limit 


  1. 1.
    De Masi, A., Presutti, E., Tsagkarogiannis, D., Vares, M.E.: Current reservoirs in the simple exclusion process. J. Stat. Phys. 144, 1151–1170 (2011) MathSciNetADSMATHCrossRefGoogle Scholar
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    De Masi, A., Presutti, E., Tsagkarogiannis, D., Vares, M.E.: Truncated correlations in the stirring process with births and deaths. Electron. J. Probab. 17(6), 1–35 (2012) Google Scholar
  3. 3.
    Liggett, T.M.: Interacting Particle Systems. A Series of Comprehensive Studies in Mathematics, vol. 276. Springer, Berlin (1985) MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Anna De Masi
    • 1
  • Errico Presutti
    • 2
  • Dimitrios Tsagkarogiannis
    • 2
  • Maria Eulalia Vares
    • 3
  1. 1.Dipartimento di MatematicaUniversità di L’AquilaL’AquilaItaly
  2. 2.Dipartimento di MatematicaUniversità di Roma Tor VergataRomaItaly
  3. 3.Instituto de MatemáticaUniversidade Federal do Rio de JaneiroRio de JaneiroBrazil

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