Logarithmic Sobolev constant for the dilute Ising lattice gas dynamics below the percolation threshold

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:102

Article

Cancrini, N ; Roberto, C

关键词: Kawasaki dynamics;    random ferromagnet;    logarithmic Sobolev constant;    equivalence of ensemble;   

DOI  :  10.1016/S0304-4149(02)00175-8

来源: Elsevier

【 摘 要 】

We consider a conservative stochastic lattice gas dynamics reversible with respect to the canonical Gibbs measure of the bond dilute Ising model on Z(d) at inverse temperature beta. When the bond dilution density p is below the percolation threshold, we prove that, for any epsilon > 0, any particle density and any beta, with probability one, the logarithmic Sobolev constant of the generator of the dynamics in a box of side L centered at the origin cannot grow faster that L2+epsilon. (C) 2002 Elsevier Science B.V. All rights reserved.

【 授权许可】

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