The Global Minimum of Energy Is Not Always a Sum of Local Minima - a Note on Frustration

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dc.creatorMiekisz, Jacek
dc.date1993-01-14
dc.date.accessioned2026-07-07T03:06:46Z
dc.date.available2026-07-07T03:06:46Z
dc.descriptionA classical lattice gas model with translation-invariant finite range competing interactions, for which there does not exist an equivalent translation-invariant finite range nonfrustrated potential, is constructed. The construction uses the structure of nonperiodic ground state configurations of the model. In fact, the model does not have any periodic ground state configurations. However, its ground state - a translation-invariant probability measure supported by ground state configurations - is unique.
dc.description15 pages, Latex, figures upon request, UCL-Emilia
dc.identifierhttps://arxiv.org/abs/cond-mat/9301016
dc.identifierhttp://arxiv.org/abs/cond-mat/9301016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26931
dc.subjectCondensed Matter
dc.titleThe Global Minimum of Energy Is Not Always a Sum of Local Minima - a Note on Frustration
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