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|Title:||An ergodic description of ground states|
|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
Teoria dos sistemas dinâmicos
|Citation:||Journal Of Statistical Physics. Springer New York Llc, v. , n. , p. - , 2014.|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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