On the ergodic properties of Glauber dynamics. (English) Zbl 1081.60562

Stroock, D.; Zegarliński, B.

J. Stat. Phys. 81, No. 5-6, 1007-1019 (1995).

Summary: We show that if there is an infinite volume Gibbs measure which satisfies a logarithmic Sobolev inequality with local coefficients of moderate growth, then the corresponding stochastic dynamics decays to equilibrium exponentially fast in the uniform norm.

MSC:

60K35	Interacting random processes; statistical mechanics type models; percolation theory
82C20	Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics

Keywords:

logarithmic Sobolev inequality

References:

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