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Microscopic stationary states for stochastic systems with particle flux
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  • Published: July 1988

Microscopic stationary states for stochastic systems with particle flux

  • P. A. Ferrari1 nAff2 &
  • S. Goldstein1 

Probability Theory and Related Fields volume 78, pages 455–471 (1988)Cite this article

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Summary

Let η t be the symmetric nearest neighbor simple exclusion process on ℤ3 modified to allow the spontaneous creation and destruction of particles at the origin. We study the invariant measures for the system in this non-equilibrium situation, for which a net current of particles flows from the origin. We analyze the n-point correlations of the invariant measures, which for n=2 behave like max (x 1 x 2)−4.

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Author information

Author notes
  1. P. A. Ferrari

    Present address: Instituto de Matematica e Estatistica, Universidade de São Paulo, São Paulo, Brasil

Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    P. A. Ferrari & S. Goldstein

Authors
  1. P. A. Ferrari
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  2. S. Goldstein
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Additional information

Partially supported by NSF Grants: PHY 8201708, DMR 81-14726-02, and DMS 85-12505

Partially supported by CNPQ GRANT No. 201682-83

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Ferrari, P.A., Goldstein, S. Microscopic stationary states for stochastic systems with particle flux. Probab. Th. Rel. Fields 78, 455–471 (1988). https://doi.org/10.1007/BF00334207

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  • Received: 08 August 1985

  • Issue Date: July 1988

  • DOI: https://doi.org/10.1007/BF00334207

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Keywords

  • Stochastic Process
  • Stationary State
  • Probability Theory
  • Statistical Theory
  • Invariant Measure
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