Alternative variational approach to cactus lattices (Articolo in rivista)

Type
Label
  • Alternative variational approach to cactus lattices (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s10955-007-9324-y (literal)
Alternative label
  • Pretti, M (2007)
    Alternative variational approach to cactus lattices
    in Journal of statistical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pretti, M (literal)
Pagina inizio
  • 1237 (literal)
Pagina fine
  • 1253 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 127 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Fisica, Politecnico di Torino, I-10129 Torino, Italy; Center for Statistical Mechanics and Complexity, CNR INFM Roma 1, I-00185 Roma, Italy (literal)
Titolo
  • Alternative variational approach to cactus lattices (literal)
Abstract
  • In this paper, I will present an alternative approach to the Bethe or cactus lattice approximation, widely employed in the theory of cooperative phenomena. This approach relies on a variational free energy, which is equivalent to the Bethe free energy in that it has the same stationary points, but allows one to simplify analytical calculations, since it is a function of only single-site probability distributions, in the same way as an ordinary mean-field (Bragg-Williams) free energy. As an application, I shall discuss a derivation of closed-form equations for critical points in Ising-like models. Moreover, I will suggest a rule of thumb to choose the cactus lattice connectivity yielding the best approximation for the corresponding model defined on an ordinary lattice. (literal)
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