Replica symmetry breaking in long-range glass models without quenched disorder

Details Replica symmetry breaking in long-range glass models without quenched disorder Replica symmetry breaking in long-range glass models without quenched disorder

2000-07-10

arxiv.org/abs/cond-mat/0007147v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 2 figures

Scientific paper

10.1088/0953-8984/13/19/103

We discuss mean field theory of glasses without quenched disorder focusing on the justification of the replica approach to thermodynamics. We emphasize the assumptions implicit in this method and discuss how they can be verified. The formalism is applied to the long range Ising model with orthogonal coupling matrix. We find the one step replica-symmetry breaking solution and show that it is stable in the intermediate temperature range that includes the glass state but excludes very low temperatures. At very low temperatures this solution becomes unstable and this approach fails.

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