The relationship between Plefka's expansion and the cluster variation method

Muneki Yasuda, Kazuyuki Tanaka

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We expand some approximate free energies in the cluster variation method for random Ising models with respect to exchange interactions, and compare them with the Plefka's expansion. It can be clarified that some approximate free energies in the cluster variation method include all terms relating to specific clusters (or diagrams) in Plefka's expansion. Revealing the relationship between Plefka's expansion and the cluster variation method allows us to understand how the cluster variation method treats correlations among nodes.

Original languageEnglish
Article number084006
Journaljournal of the physical society of japan
Volume75
Issue number8
DOIs
Publication statusPublished - 2006 Aug 1

Keywords

  • Bethe approximation
  • Cluster variation method
  • Plefka's expansion
  • Probabilistic information processing
  • Random Ising model
  • Statistical-mechanical informatics
  • TAP equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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