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Elementary solution of Classical Spin-Glass models

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Zeitschrift für Physik B Condensed Matter

Abstract

An elementary solution to a general class of classical spin-glass models is presented. This class comprises all mean-field models where bond-randomness is given in terms ofsite-randomness with finitely many random variables per site and includes both separable and non-separable interactions. The main idea is to single out specific sublattice magnetizations which correspond to the probability distribution and to determine their asymptotics by means of a simple large-deviations argument. The ensuing stability and bifurcation analysis is given in detail.

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van Hemmen, J.L., Grensing, D., Huber, A. et al. Elementary solution of Classical Spin-Glass models. Z. Physik B - Condensed Matter 65, 53–63 (1986). https://doi.org/10.1007/BF01308399

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