A mean field method with correlations determined by linear response
Statistical Mechanics
2013-09-17 v3 Disordered Systems and Neural Networks
Abstract
We introduce a new 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 upon, 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.
Cite
@article{arxiv.1211.6400,
title = {A mean field method with correlations determined by linear response},
author = {Jack Raymond and Federico Ricci-Tersenghi},
journal= {arXiv preprint arXiv:1211.6400},
year = {2013}
}
Comments
15 pages, 8 figures, 9 appendices, significant expansion on versions v1 and v2