Ensemble inequivalence in the spherical spin glass model with nonlinear interactions

Yuma Murata, Hidetoshi Nishimori

研究成果: Article査読

8 被引用数 (Scopus)

抄録

We investigate the ensemble inequivalence of the spherical spin glass model with nonlinear interactions of polynomial order p. This model is solved exactly for arbitrary p and is shown to have first-order phase transitions between the paramagnetic and spin glass or ferromagnetic phases forp ≥ 5. In the parameter region around the first-order transitions, the solutions give different results depending on the ensemble used for the analysis. In particular, we observe that the microcanonical specific heat can be negative and the phase may not be uniquely determined by the temperature.

本文言語English
論文番号114008
ジャーナルjournal of the physical society of japan
81
11
DOI
出版ステータスPublished - 2012 11

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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