Free-Energy Fluctuations and Chaos in the Sherrington-Kirkpatrick Model

2007/12/21 by Timo Aspelmeier, T. Aspelmeier · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevlett.100.117205

published as Phys. Rev. Lett. 100:117205, 2008 · 4.5 pages, no figures. This manuscript supersedes arXiv:cond-mat/0610228

arxiv created 2007/12/21 · openalex publication_date 2008/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The sample-to-sample fluctuations \ensuremathΔF_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 \ensuremathμ governing the growth of the fluctuations with system size N, \ensuremathΔF_N\ensuremath∼N^\ensuremathμ, is bounded by \ensuremathμ\ensuremath≤(1)/(4).

Citations

• Free energy fluctuations in the mean-field Ising spin glass

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