An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model

Details An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model

2008-02-21

arxiv.org/abs/0802.3007v1

J. Stat. Mech. (2008) P04018

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, no figures

Scientific paper

10.1088/1742-5468/2008/04/P04018

Using a variant of the interpolating Hamiltonian technique, we show that there exists, in the Sherrington-Kirkpatrick spin glass, an exact connection between the sample-to-sample fluctuations of the free energy and bond chaos involving 2- and 4-replica overlaps between replicas with different but correlated bonds. This relation is used to derive an upper bound of the fluctuations.

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