Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model

Abstract

The sample-to-sample fluctuations Delta F_N of the free energy in the Sherrington-Kirkpatrick model are shown rigorously to be related to bond chaos. Via this connection, the fluctuations become analytically accessible by replica methods. The replica calculation for bond chaos shows that the exponent mu governing the growth of the fluctuations with system size N, i.e. Delta F_N N^mu, is bounded by mu <= 1/4.

4.5 pages, no figures. This manuscript supersedes arXiv:cond-mat/0610228

References in corpus (2)

• Universality-class dependence of energy distributions in spin glasses
• Disorder chaos in spin glasses

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