Mechanism for the failure of the Edwards hypothesis in the Sherrington-Kirkpatrick spin glass
Citation:
Eastham, PR, Blythe, RA, Bray, AJ, Moore, MA, Mechanism for the failure of the Edwards hypothesis in the Sherrington-Kirkpatrick spin glass, Physical Review B, 74, 2006, 020406Download Item:
Abstract:
The dynamics of the Sherrington-Kirkpatrick model at T=0 starting from random spin configurations is
considered. The metastable states reached by such dynamics are atypical of such states as a whole, in that the
probability density of site energies, p , is small at =0. Since virtually all metastable states have a much
larger p 0 , this behavior demonstrates a qualitative failure of the Edwards hypothesis. We look for its origins
by modeling the changes in the site energies during the dynamics as a Markov process. We show how the small
p(0) arises from features of the Markov process that have a clear physical basis in the spin glass, and hence
explain the failure of the Edwards hypothesis.
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http://people.tcd.ie/easthampDescription:
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Author: EASTHAM, PAUL
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Physical Review B74
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