How non-Gibbsianness helps a metastable Morita minimizer to provide a stable free energy

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dc.creatorKuelske, Christof
dc.date2004-04-16
dc.date.accessioned2026-07-07T05:07:29Z
dc.date.available2026-07-07T05:07:29Z
dc.descriptionWe analyze a simple approximation scheme based on the Morita-approach for the example of the mean field random field Ising model where it is claimed to be exact in some of the physics literature. We show that the approximation scheme is flawed, but it provides a set of equations whose metastable solutions surprisingly yield the correct solution of the model. We explain how the same equations appear in a different way as rigorous consistency equations. We clarify the relation between the validity of their solutions and the almost surely discontinuous behavior of the single-site conditional probabilities.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0404299
dc.identifierhttp://arxiv.org/abs/math/0404299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70877
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60G60; 82B20; 82B44
dc.titleHow non-Gibbsianness helps a metastable Morita minimizer to provide a stable free energy
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