TY - JOUR AU - Wang, Jun PY - 2009 DA - 2009/07/19 TI - The Stochastic Ising Model with the Mixed Boundary Conditions JO - Boundary Value Problems SP - 571950 VL - 2009 IS - 1 AB - 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. SN - 1687-2770 UR - https://doi.org/10.1155/2009/571950 DO - 10.1155/2009/571950 ID - Wang2009 ER -