Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model

Details Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model

2007-12-21

arxiv.org/abs/0712.3586v1

Phys. Rev. Lett. 100:117205, 2008

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevLett.100.117205

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.

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