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- W2020175253 abstract "We investigate the large deviation behaviour of the overlap probability density in the Sherrington–Kirkpatrick (SK) model using the coupled replica scheme, and we compare with the results of a large-scale numerical simulation. In the spin glass phase we show that, generically, for any model with continuous replica symmetry breaking (RSB), 1/N log PN(q)≈ −(|q| − qEA)3, and we compute the first correction to the expansion of in powers of Tc − T for the SK model. We also study the paramagnetic phase, where results are obtained in the replica symmetric scheme that do not involve an expansion in powers of q − qEA or Tc − T. Finally we give precise semi-analytical estimates of P(|q| = 1). The overall agreement between the various points of view is very satisfactory." @default.
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- W2020175253 date "2002-12-12" @default.
- W2020175253 modified "2023-10-16" @default.
- W2020175253 title "On the tail of the overlap probability distribution in the Sherrington Kirkpatrick model" @default.
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- W2020175253 doi "https://doi.org/10.1088/0305-4470/36/1/302" @default.
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