The estimates of correlations in two-dimensional Ising model

Jun Wang

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 5, 565-573

Abstract: We investigate the correlation inequalities and the decay of correlations of stochastic Ising model in a rectangle with side length 2L×K(LlnL)1/2, where K is some positive constant. With different boundary conditions, at inverse temperature β>βc or β<βc and zero external field, we show some estimates of the correlation functions for the two-dimensional Ising model.

Keywords: Stochastic Ising model; Gibbs measure; Surface tension; Correlation; Boundary condition; Contour (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:5:p:565-573

DOI: 10.1016/j.physa.2008.11.016

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