Griffiths inequalities for the Gaussian spin glass

Satoshi Morita, Hidetoshi Nishimori, Pierluigi Contucci

研究成果: Article査読

15 被引用数 (Scopus)

抄録

The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of the system. These inequalities imply that correlation functions are non-negative and monotonie along the Nishimori line in the phase diagram. From this result, the existence of thermodynamic limit for correlation functions and pressure is proved under free and fixed boundary conditions. Relations between the location of multicritical points are also derived for different lattices.

本文言語English
ページ(範囲)L203-L209
ジャーナルJournal of Physics A: Mathematical and General
37
18
DOI
出版ステータスPublished - 2004 5 7

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 物理学および天文学(全般)

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