92-174 Martinelli F., Olivieri E.
Finite Volume Mixing Conditions for Lattice Spin Systems and Exponential Approach to Equilibrium of Glauber Dynamics. (54K, plaintex) Nov 5, 92
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Abstract. We critically review various finite volume conditions in classical statistical mechanics together with their implications both for the Gibbs state and for an associated Glauber type dynamics. Moreover we considerably improve some old results by Holley and Aizenamnthe on the relationship between Gibbs state and fast convergence of the Glauber dynamics. Our results are optimal in the sense that, for example, they show for the first time fast convergence of the dynamics above the critical point for the d-dimensional Ising model with or without an external field.

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