Message-passing Algorithms for the Bidimensional Ising Ferromagnet

  • E. Domínguez Facultad de Física, Universidad de La Habana
  • A. Lage Facultad de Física, Universidad de La Habana
  • R. Mulet Facultad de Física, Universidad de La Habana

Abstract

Message-passing algorithms are exploited to find approximated solutions for discrete spin systems. Many thermodynamic quantities can be obtained, often accurately, by this method. The Ising bidimensional ferromagnet (FIB) is a good trial system used here to test different approximations. We compare algorithmic results with analytic calculations to illustrate the matching between the algorithms named Generalized Belief Propagation (GBP) and a family of free energy variational approximations called Cluster Variation Method (CVM).

Published
Jun 14, 2012
How to Cite
DOMÍNGUEZ, E.; LAGE, A.; MULET, R.. Message-passing Algorithms for the Bidimensional Ising Ferromagnet. Revista Cubana de Física, [S.l.], v. 29, n. 1, p. 14-20, june 2012. ISSN 2224-7939. Available at: <https://revistacubanadefisica.org/index.php/rcf/article/view/RCF_29-1_14_2012>. Date accessed: 23 apr. 2024.
Section
Original Articles

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