The Stochastic Ising Model with the Mixed Boundary Conditions
Boundary Value Problems volume 2009, Article number: 571950 (2009)
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.
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Wang, J. The Stochastic Ising Model with the Mixed Boundary Conditions. Bound Value Probl 2009, 571950 (2009). https://doi.org/10.1155/2009/571950