APPROACH TO EQUILIBRIUM OF GLAUBER DYNAMICS IN THE ONE-PHASE REGION .2. THE GENERAL-CASE

被引：90

作者：

MARTINELLI, F ^{[1
]}

OLIVIERI, E ^{[1
]}

机构：

[1] UNIV TOR VERGATA,DIPARTIMENTO MATEMAT,ROME,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 161卷 / 03期

关键词：

D O I：

10.1007/BF02101930

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a new method, based on renormalization group ideas (block decimation procedure), to prove, under an assumption of strong mixing in a finite cube LAMBDA0, a Logarithmic Sobolev Inequality for the Gibbs state of a discrete spin system. As a consequence we derive the hypercontractivity of the Markov semigroup of the associated Glauber dynamics and the exponential convergence to equilibrium in the uniform norm in all volumes LAMBDA ''multiples'' of the cube LAMBDA0.

引用

页码：487 / 514

页数：28

共 20 条

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[Anonymous], 1985, INTERACTING PARTICLE

[2]

Dobrushin R. L., 1985, Statistical Physics and Dynamical Systems: Rigorous Results, P371

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