Random-energy model in random fields

Details Random-energy model in random fields Random-energy model in random fields

2006-01-27

arxiv.org/abs/cond-mat/0601640v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 5 figures (included)

Scientific paper

10.1103/PhysRevE.74.031117

The random-energy model is studied in the presence of random fields. The problem is solved exactly both in the microcanonical ensemble, without recourse to the replica method, and in the canonical ensemble using the replica formalism. The phase diagrams for bimodal and Gaussian random fields are investigated in detail. In contrast to the Gaussian case, the bimodal random field may lead to a tricritical point and a first-order transition. An interesting feature of the phase diagram is the possibility of a first-order transition from paramagnetic to mixed phase.

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