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arXiv · 0706.1180

Large Deviations in the Free-Energy of Mean-Field Spin-Glasses

Giorgio Parisi·Tommaso Rizzo
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Abstract

We compute analytically the probability distribution of large deviations in the spin-glass free energy for the Sherrington-Kirkpatrick mean field model, i.e. we compute the exponentially small probability of finding a system with intensive free energy smaller than the most likely one. This result is obtained by computing the average value of the partition function to the power $n$ as a function of $n$. At zero temperature this absolute prediction displays a remarkable quantitative agreement with the numerical data.

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Giorgio Parisi, Tommaso Rizzo. 2007-06-20. Large Deviations in the Free-Energy of Mean-Field Spin-Glasses. https://doi.org/10.1103/physrevlett.101.117205

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