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

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

2007-06-08

arxiv.org/abs/0706.1180v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

version to be submitted to PRL plus full power series in the appendix, added references and minor corrections

Scientific paper

10.1103/PhysRevLett.101.117205

We compute analytically the probability distribution of large deviations in the spin-glass free energy for the Sherrington-Kirkpatrick mean field model, {\it 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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