Fluctuations of the 2-spin SSK model with magnetic field

2020/09/26 by Landon, Benjamin, Sosoe, Philippe · 1 citation
#60B20 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2009.12514

Abstract

We analyze the fluctuations of the free energy, replica overlaps, and overlap with the external field in the quadratic spherical SK model with a magnetic field. We identify several different behaviors for these quantities depending on the size of the magnetic field, confirming predictions by Fyodorov-Le Doussal and recent work of Baik, Collins-Wildman, Le Doussal and Wu.

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• Free energy fluctuations in SK and related spin glass models: A literature survey

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