Generalized belief propagation for the magnetization of the simple cubic Ising model

DOI10.1016/j.nuclphysb.2014.01.008zbMath1284.82024arXiv1401.4074OpenAlexW2070207161MaRDI QIDQ2441688

Alessandro Pelizzola

Publication date: 27 March 2014

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4074

zbMATH Keywords

generalized belief propagationcluster variational methodsimple cubic Ising model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40) Statistical thermodynamics (82B30) Variational principles of physics (49S05)

Cites Work

• Critical phenomena and renormalization-group theory
• A note on the cluster variation method.
• On the convergence of kikuchi's natural iteration method
• CCCP Algorithms to Minimize the Bethe and Kikuchi Free Energies: Convergent Alternatives to Belief Propagation
• Constructing Free-Energy Approximations and Generalized Belief Propagation Algorithms
• Ising universality in three dimensions: a Monte Carlo study
• The magnetization of the 3D Ising model
• Series studies of the Potts model. I. The simple cubic Ising model
• Statistical theory of superlattices
• On Ising's model of ferromagnetism
• Statistics of the Two-Dimensional Ferromagnet. Part I
• Statistics of the Two-Dimensional Ferromagnet. Part II
• A Theory of Cooperative Phenomena

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