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Updated: Jun 29, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Large deviations in the free energy of mean-field spin glasses
Giorgio Parisi1, Tommaso Rizzo
1Dipartimento di Fisica, Università di Roma "La Sapienza", P.le Aldo Moro 2, 00185 Roma, Italy.
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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