%0 Journal Article
%T The Stochastic Ising Model with the Mixed Boundary Conditions
%A Wang Jun
%J Boundary Value Problems
%D 2009
%I Springer
%X 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 inverse temperatures , we will show lower bounds of the spectral gap of the Ising model for the other three classes mixed boundary conditions.
%U http://www.boundaryvalueproblems.com/content/2009/571950