- 92-174 Martinelli F., Olivieri E.
- Finite Volume Mixing Conditions for Lattice Spin Systems and Exponential
Approach to Equilibrium of Glauber Dynamics.
Nov 5, 92
(auto. generated ps),
of related papers
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