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Regularity of diffusion coefficient for nearest neighbor asymmetric simple exclusion on

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  • Beltrán, Johel

Abstract

We consider the nearest neighbor asymmetric exclusion process on , in which particles jump with probability p(1) to the right and p(-1) to the left. Let q=p(1)/p(-1) and denote by [nu]q an ergodic component of the reversible Bernoulli product measure which places a particle at x with probability qx/(1+qx). It is well known that under some hypotheses on a local function V, converges to a normal distribution with variance [sigma]2=[sigma]2(q), which depends on q. We prove in this article that [sigma]2(q) is a C[infinity] function of q on (0,1).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:9:p:1451-1474
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    References listed on IDEAS

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    1. 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.
    2. Benjamini, I. & Ferrari, P. A. & Landim, C., 1996. "Asymmetric conservative processes with random rates," Stochastic Processes and their Applications, Elsevier, vol. 61(2), pages 181-204, February.
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