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arXiv · 0802.3204

Bond chaos in the Sherrington-Kirkpatrick model

T. Aspelmeier
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Abstract

We calculate the probability distribution of the overlap between a spin glass and a copy of itself in which the bonds are randomly perturbed in varying degrees. The overlap distribution is shown to go to a delta distribution in the thermodynamic limit for arbitrarily small perturbations (bond chaos) and we obtain the scaling behaviour of the distribution with system size N in the high and low temperature phases and exactly at the critical temperature. The results are relevant for the free energy fluctuations in the Sherrington-Kirkpatrick model.

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T. Aspelmeier. 2008-02-21. Bond chaos in the Sherrington-Kirkpatrick model. https://doi.org/10.1088/1751-8113/41/20/205005

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