The Stochastic Ising Model with the Mixed Boundary Conditions

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...

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Bibliographic Details
Main Author:	Jun Wang
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Boundary Value Problems
Online Access:	http://dx.doi.org/10.1155/2009/571950

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record_format	Article
spelling	doaj-a50133d2475c421f889e0b046966b6b82020-11-24T21:12:47ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/571950The Stochastic Ising Model with the Mixed Boundary ConditionsJun WangWe 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 β>βc, we will show lower bounds of the spectral gap of the Ising model for the other three classes mixed boundary conditions. http://dx.doi.org/10.1155/2009/571950
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jun Wang
spellingShingle	Jun Wang The Stochastic Ising Model with the Mixed Boundary Conditions Boundary Value Problems
author_facet	Jun Wang
author_sort	Jun Wang
title	The Stochastic Ising Model with the Mixed Boundary Conditions
title_short	The Stochastic Ising Model with the Mixed Boundary Conditions
title_full	The Stochastic Ising Model with the Mixed Boundary Conditions
title_fullStr	The Stochastic Ising Model with the Mixed Boundary Conditions
title_full_unstemmed	The Stochastic Ising Model with the Mixed Boundary Conditions
title_sort	stochastic ising model with the mixed boundary conditions
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2762 1687-2770
publishDate	2009-01-01
description	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 β>βc, we will show lower bounds of the spectral gap of the Ising model for the other three classes mixed boundary conditions.
url	http://dx.doi.org/10.1155/2009/571950
work_keys_str_mv	AT junwang thestochasticisingmodelwiththemixedboundaryconditions AT junwang stochasticisingmodelwiththemixedboundaryconditions
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The Stochastic Ising Model with the Mixed Boundary Conditions

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