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Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures

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  • Bernardin, Cédric

Abstract

We prove the smoothness of a diffusion coefficient with respect to the density of particles for a non-gradient type model. This fact gives a complete proof of the hydrodynamic equation for lattice gas reversible under Bernoulli measures.

Suggested Citation

  • Bernardin, Cédric, 2002. "Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures," Stochastic Processes and their Applications, Elsevier, vol. 101(1), pages 43-68, September.
    • Handle: RePEc:eee:spapps:v:101:y:2002:i:1:p:43-68
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    Cited by:

    1. Beltrán, Johel, 2005. "Regularity of diffusion coefficient for nearest neighbor asymmetric simple exclusion on," Stochastic Processes and their Applications, Elsevier, vol. 115(9), pages 1451-1474, September.
    2. Nagahata, Yukio, 2006. "Regularity of the diffusion coefficient matrix for generalized exclusion process," Stochastic Processes and their Applications, Elsevier, vol. 116(6), pages 957-982, June.

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