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

N. Cancrini and C. Roberto

Stochastic Processes and their Applications, 2002, vol. 102, issue 2, 159-205

Abstract: We consider a conservative stochastic lattice gas dynamics reversible with respect to the canonical Gibbs measure of the bond dilute Ising model on at inverse temperature [beta]. When the bond dilution density p is below the percolation threshold, we prove that, for any [var 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+[var epsilon].

Keywords: Kawasaki; dynamics; Random; ferromagnet; Logarithmic; Sobolev; constant; Equivalence; of; ensemble (search for similar items in EconPapers)
Date: 2002
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