Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 5, Pages 565-573Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2008.11.016
Keywords
Stochastic Ising model; Gibbs measure; Surface tension; Correlation; Boundary condition; Contour
Categories
Funding
- National Natural Science Foundation of China [70471001, 70771006]
- BJTU Foundation [2006XM044.]
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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.
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