The Stochastic Ising Model with the Mixed Boundary Conditions

We estimate the spectral gap of the two-dimensional stochastic Ising model for four classes of mixed boundary conditions. On a finite square, in the absence of an external field, two-sided estimates on the spectral gap for the first class of (weak positive) boundary conditions are given. Further, at...

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Bibliographic Details
Main Author: Jun Wang
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2009/571950