Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/86874
Type: Artigo
Title: An ergodic description of ground states
Author: Garibaldi, Eduardo
Thieullen, Philippe
Abstract: Given a translation-invariant Hamiltonian (Formula presented.), a ground state on the lattice (Formula presented.) is a configuration whose energy, calculated with respect to (Formula presented.), cannot be lowered by altering its states on a finite number of sites. The set formed by these configurations is translation-invariant. Given an observable (Formula presented.) defined on the space of configurations, a minimizing measure is a translation-invariant probability which minimizes the average of (Formula presented.). If (Formula presented.) is the mean contribution of all interactions to the site (Formula presented.), we show that any configuration of the support of a minimizing measure is necessarily a ground state.
Given a translation-invariant Hamiltonian H, a ground state on the lattice Zd is a configuration whose energy, calculated with respect to H, cannot be lowered by altering its states on a finite number of sites. The set formed by these configurations is tr
Subject: Otimização ergódica
Teoria dos sistemas dinâmicos
Física estatística
Country: Estados Unidos
Editor: Springer
Citation: Journal Of Statistical Physics. Springer New York Llc, v. , n. , p. - , 2014.
Rights: fechado
fechado
Identifier DOI: 10.1007/s10955-014-1139-z
Address: https://link.springer.com/article/10.1007/s10955-014-1139-z
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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