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19 April 2024

» arxiv » 1107.5772

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Sample-to-sample fluctuations of the overlap distributions in the three-dimensional Edwards-Anderson spin glass
Janus Collaboration ; R. Alvarez Baños ; A. Cruz ; L. A. Fernandez ; J. M. Gil-Narvion ; A. Gordillo-Guerrero ; M. Guidetti ; D. Iñiguez ; A. Maiorano ; F. Mantovani ; E. Marinari ; V. Martin-Mayor ; J. Monforte-Garcia ; A. Muñoz-Sudupe ; D. Navarro ; G. Parisi ; S. Perez-Gaviro ; F. Ricci-Tersenghi ; J. J. Ruiz-Lorenzo ; S. F. Schifano ; B. Seoane ; A. Tarancon ; R. Tripiccione ; D. Yllanes ;
Date:	28 Jul 2011
Abstract:	We study the sample-to-sample fluctuations of the overlap probability densities from large-scale equilibrium simulations of the three-dimensional Edwards-Anderson spin glass below the critical temperature. Ultrametricity, Stochastic Stability and Overlap Equivalence impose constraints on the moments of the overlap probability densities that can be tested against numerical data. We found small deviations from the Ghirlanda-Guerra predictions, which get smaller as system size increases. We also focus on the shape of the overlap distribution, comparing the numerical data to a mean-field-like prediction in which finite-size effects are taken into account by substituting delta functions with broad peaks
Source:	arXiv, 1107.5772
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