The estimates of correlations in two-dimensional Ising model

We investigate the correlation inequalities and the decay of correlations of stochastic Ising model in a rectangle with side length 2L x K(LlnL)(1/2), where K is some positive constant. With different boundary conditions, at inverse temperature beta > & beta(c) or beta < beta(c) and zero external field, we show some estimates of the correlation functions for the two-dimensional Ising model. (c) 2008 Elsevier B.V. All rights reserved.