On the equivalence of the Sompolinsky and Parisi solutions for the SK spin glass
- 21 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (9) , L517-L520
- https://doi.org/10.1088/0305-4470/17/9/012
Abstract
Using simple properties of the Parisi overlap function P(q) the author demonstrates that the Parisi and Sompolinsky solutions are entirely equivalent both for Ising and isotropic spin glasses. Studying the notorious Potts model, he shows that existence of P(q) leads to important new criteria for the physical solutions of a replica approach, which supplement those based on the familiar stability analyses.Keywords
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