Correlated molecular-field theory for Ising models

G. M. Wysin and J. Kaplan
Phys. Rev. E 61, 6399 – Published 1 June 2000
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Abstract

The critical temperature Tc of Ising models is obtained quite accurately by simple improvements over the standard molecular-field theory. The important physical effect we include is that the effective field of neighboring spins is influenced by the spin state of the central spin. When used in combination with a self-consistency condition, this correlated molecular-field theory leads to estimates of Tc more accurate than those obtained from the Bethe-Peierls-Weiss approximation.

  • Received 4 June 1999

DOI:https://doi.org/10.1103/PhysRevE.61.6399

©2000 American Physical Society

Authors & Affiliations

G. M. Wysin

  • Department of Physics, Kansas State University, Manhattan, Kansas 66506-2601

J. Kaplan

  • Department of Physics, Indiana University & Purdue University, Indianapolis, Indiana 46202-3273

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Vol. 61, Iss. 6 — June 2000

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