Bond chaos in the Sherrington-Kirkpatrick model
Autor: | Aspelmeier, T. |
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Rok vydání: | 2008 |
Předmět: | |
Zdroj: | J. Phys. A: Math. Theor. 41 (2008) 205005 |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/1751-8113/41/20/205005 |
Popis: | 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. Comment: 12 pages, no figures |
Databáze: | arXiv |
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