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The Ising M-p-spin mean-field model for the structural glass: continuous vs. discontinuous transition

arXiv:1010.5000 · doi:10.1103/PhysRevB.83.104202

Abstract

The critical behavior of a family of fully connected mean-field models with quenched disorder, the $M-p$ Ising spin glass, is analyzed, displaying a crossover between a continuous and a random first order phase transition as a control parameter is tuned. Due to its microscopic properties the model is straightforwardly extendable to finite dimensions in any geometry.

10 pages, 1 figure, 1 table