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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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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DOI: https://doi.org/10.1007/BF00334207
Keywords
- Stochastic Process
- Stationary State
- Probability Theory
- Statistical Theory
- Invariant Measure