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Article Dans Une Revue Journal of Statistical Physics Année : 2015

An Ergodic Description of Ground States

Résumé

Given a translation-invariant Hamiltonian H , a ground state on the lattice Z d 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 translation-invariant. Given an observable defined on the space of configurations, a minimizing measure is a translation-invariant probability which minimizes the average of. If 0 is the mean contribution of all interactions to the site 0, we show that any configuration of the support of a minimizing measure is necessarily a ground state.
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Dates et versions

hal-01213721 , version 1 (31-10-2015)

Identifiants

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Eduardo Garibaldi, Philippe Thieullen. An Ergodic Description of Ground States. Journal of Statistical Physics, 2015, 158, pp.359 - 371. ⟨10.1007/s10955-014-1139-z⟩. ⟨hal-01213721⟩
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