Ensemble Inequivalence and the Spin-Glass Transition

Details Ensemble Inequivalence and the Spin-Glass Transition Ensemble Inequivalence and the Spin-Glass Transition

2011-09-28

arxiv.org/abs/1109.6366v2

J. Stat. Mech. (2011) P11022

Physics

Condensed Matter

Disordered Systems and Neural Networks

19 pages, 7 figures

Scientific paper

10.1088/1742-5468/2011/11/P11022

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.

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