On the Tail of the Overlap Probability Distribution in the Sherrington–Kirkpatrick Model

نویسندگان

  • Alain Billoire
  • Silvio Franz
  • Enzo Marinari
چکیده

We investigate the large deviation behavior of the overlap probability density in the Sherrington–Kirkpatrick model using the coupled replica scheme, and compare with the results of a large scale numerical simulation. In the spin glass phase we show that generically, for any model with continuous RSB, 1/N log PN (q) ≈ −A ((|q| − qEA), and compute the first correction to the expansion of A in powers of

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تاریخ انتشار 2008