Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/79541
Type: Artigo de periódico
Title: Description of Some Ground States by Puiseux Techniques
Author: Garibaldi, E
Thieullen, P
Abstract: Let (Sigma(+)(G), sigma) be a one-sided transitive subshift of finite type, where symbols are given by a finite spin set S, and admissible transitions are represented by an irreducible directed graph G subset of S x S. Let H : Sigma(+)(G) -> R be a locally constant function (that corresponds with a local observable which makes finite-range interactions). Given beta > 0, let mu(beta H) be the Gibbs-equilibrium probability measure associated with the observable -beta H. It is known, by using abstract considerations, that {mu(beta H)}(beta>0) converges as beta -> +infinity to a H-minimizing probability measure mu(H)(min) called zero-temperature Gibbs measure. For weighted graphs with a small number of vertices, we describe here an algorithm (similar to the Puiseux algorithm) that gives the explicit form of mu(H)(min) on the set of ground-state configurations.
Subject: Zero-temperature Gibbs measures
Ground-state configurations
Puiseux algorithm
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s10955-011-0357-x
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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