Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model

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dc.creatorAspelmeier, T.
dc.date2007-12-21
dc.date.accessioned2026-07-07T09:27:59Z
dc.date.available2026-07-07T09:27:59Z
dc.descriptionThe 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.
dc.description4.5 pages, no figures. This manuscript supersedes arXiv:cond-mat/0610228
dc.identifierhttps://arxiv.org/abs/0712.3586
dc.identifierhttp://arxiv.org/abs/0712.3586
dc.identifierPhys. Rev. Lett. 100:117205, 2008
dc.identifierdoi:10.1103/PhysRevLett.100.117205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157298
dc.subjectDisordered Systems and Neural Networks
dc.titleFree energy fluctuations and chaos in the Sherrington-Kirkpatrick model
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