Ensemble inequivalence in the spherical spin glass model with nonlinear interactions

Yuma Murata, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number114008
Journaljournal of the physical society of japan
Volume81
Issue number11
DOIs
Publication statusPublished - 2012 Nov

Keywords

  • Classical spin systems
  • Disordered systems
  • Ensemble inequivalence
  • Long-range interacting systems
  • Phase diagrams
  • Spin glasses

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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