Message passing and Monte Carlo algorithms: Connecting fixed points with metastable states (Articolo in rivista)

Type
Label
  • Message passing and Monte Carlo algorithms: Connecting fixed points with metastable states (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1209/0295-5075/107/57011 (literal)
Alternative label
  • Lage-Castellanos, A.; Mulet, R.; Ricci-Tersenghi, F. (2014)
    Message passing and Monte Carlo algorithms: Connecting fixed points with metastable states
    in Europhysics letters (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Lage-Castellanos, A.; Mulet, R.; Ricci-Tersenghi, F. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 107 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 6 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 5 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • University Habana; Istituto Nazionale di Fisica Nucleare; Consiglio Nazionale delle Ricerche (CNR) (literal)
Titolo
  • Message passing and Monte Carlo algorithms: Connecting fixed points with metastable states (literal)
Abstract
  • Mean field-like approximations (including naive mean-field, Bethe and Kikuchi and more general cluster variational methods) are known to stabilize ordered phases at temperatures higher than the thermodynamical transition. For example, in the Edwards-Anderson model in 2 dimensions these approximations predict a spin glass transition at finite T. Here we show that the spin glass solutions of the Cluster Variational Method (CVM) at plaquette level do describe well the actual metastable states of the system. Moreover, we prove that these states can be used to predict non-trivial statistical quantities, like the distribution of the overlap between two replicas. Our results support the idea that message passing algorithms can be helpful to accelerate Monte Carlo simulations in finite-dimensional systems. Copyright (C) EPLA, 2014 (literal)
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