Mean-Field Theory is Exact for the Random-Field Model with Long-Range Interactions

Junichi Tsuda, Hidetoshi Nishimori

研究成果: Article査読

抄録

We study the classical spin model in random fields with long-range interactions and show the exactness of the meanfield theory under certain mild conditions. This is a generalization of the result of Mori for the non-random and spinglass cases. To treat random fields, we evoke the self-averaging property of a function of random fields, without recourse to the replica method. The result is that the mean-field theory gives the exact expression of the canonical free energy for systems with power-decaying interactions if the power is smaller than or equal to the spatial dimension.

本文言語English
論文番号074002
ジャーナルjournal of the physical society of japan
83
7
DOI
出版ステータスPublished - 2014 7 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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