Ensemble Inequivalence and the Spin-Glass Transition

Autor: Bertalan, Zsolt, Takahashi, Kazutaka
Rok vydání: 2011
Předmět:
Zdroj: J. Stat. Mech. (2011) P11022
Druh dokumentu: Working Paper
DOI: 10.1088/1742-5468/2011/11/P11022
Popis: We report on the ensemble inequivalence in a many-body spin-glass model with integer spin. The spin-glass phase transition is of first order for certain values of the crystal field strength and is dependent whether it was derived in the microcanonical or the canonical ensemble. In the limit of infinitely many-body interactions, the model is the integer-spin equivalent of the random-energy model, and is solved exactly. We also derive the integer-spin equivalent of the de Almeida-Thouless line.
Comment: 19 pages, 7 figures
Databáze: arXiv