Book Review: The Sherrington-Kirkpatrick model

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The Sherrington-Kirkpatrick model

The Sherrington-Kirkpatrick (SK) model was introduced by David Sherrington and Scott Kirkpatrick in 1975 as a simple ‘solvable’ (in their words) model for spin-glasses. Spin-glasses are some type of magnetic alloys, and ‘solvable’ meant that the asymptotic free entropy density could be computed exactly. It turns out that the original SK solution was incorrect and in fact inconsistent (the autho...

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We study properties of the energy minima obtained by quenching equilibrium configurations of the Sherrington–Kirkpatrick (SK) mean-field spin glass. We measure the probability distribution of the overlap among quenched configurations and the quenched energy, looking at the dependence on the starting equilibrium temperature, and performing a systematic analysis of finite-size effects.

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 2014

ISSN: 0273-0979,1088-9485

DOI: 10.1090/s0273-0979-2014-01464-8