• Corpus ID: 236950688

# Fluctuations of the free energy of the mixed $p$-spin mean field spin glass model

@inproceedings{Banerjee2021FluctuationsOT,
title={Fluctuations of the free energy of the mixed \$p\$-spin mean field spin glass model},
author={Debapratim Banerjee and David Belius},
year={2021}
}
• Published 6 August 2021
• Physics
The Sherrington-Kirkpatrick [SK75] model and its variants [Der80; GM84; Tal00] are important models of disordered magnetic systems and paradigmatic examples in the theory of complex systems [MPV87; Tal10; Tal11; Pan13b]. An important step in the solution of the model is the computation of the free energy. The Parisi formula [Par80; Par79; Gue03; Tal06; Pan13a] gives the typical value of the free energy in the form of a law of large numbers. This article studies the fluctuations of free energy…
Fluctuations of the free energy in p-spin SK models on two scales
• Mathematics
• 2022
A BSTRACT . 20 years ago, Bovier, Kurkova, and L¨owe [5] proved a central limit theorem (CLT) for the ﬂuctuations of the free energy in the p -spin version of the Sherrington-Kirkpatrick model of
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• Physics
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. We study the ﬂuctuation and limiting distribution of free energy in mean-ﬁeld Ising spin glass models under weak external ﬁelds. We prove that at high temperature, there are three sub-regimes

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