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Mean-field method with correlations determined by linear response

Jack Raymond

Federico Ricci-Tersenghi

  • Dipartimento di Fisica, Università La Sapienza, Piazzale Aldo Moro 5, I-00185 Rome, Italy

  • Dipartimento di Fisica, Università La Sapienza, Piazzale Aldo Moro 5, I-00185 Rome, Italy and INFN–Sezione di Roma 1 and CNR–IPCF, UOS di Roma, I-00185 Rome, Italy

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Phys. Rev. E 87, 052111 – Published 9 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052111

Abstract

We introduce a mean-field approximation based on the reconciliation of maximum entropy and linear response for correlations in the cluster variation method. Within a general formalism that includes previous mean-field methods, we derive formulas improving on, e.g., the Bethe approximation and the Sessak-Monasson result at high temperature. Applying the method to direct and inverse Ising problems, we find improvements over standard implementations.

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Outline

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Phys. Rev. E 87, 052111– Published 9 May, 2013
  • Received 3 December 2012

©2013 American Physical Society

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