Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses



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Billoire, A. and Fernández Pérez, Luis Antonio and Maiorano, A. and Marinari, E. and Martín Mayor, Víctor and Yllanes, D. (2011) Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses. Journal of statistical mechanics : theory and experiment . ISSN 1742-5468

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Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three dimensional Edwards Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick model. We find that the behaviour of our data is nicely described by straightforward finitesize scaling relations.

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© 2011 IOP Publishing Ltd and SISSA. We are indebted to the Janus collaboration that has allowed us to use equilibrium spin configurations of the D = 3 Edwards-Anderson model [4, 5] obtained by large scale numerical simulations. AB thanks Cécile Monthus and Thomas Garel for discussions at an early stage of the work and, specially, Barbara Coluzzi for a sustained collaboration on the study of the SK model. We acknowledge partial financial support from MICINN, Spain, (contract no FIS2009-12648-C03), from UCM-Banco de Santander (GR32/10-A/910383) and from the DREAM Seed Project of the Italian Institute of Technology (IIT). DY was supported by the FPU program (Spain).

Uncontrolled Keywords:Critical disordered-systems; Solvable model; Ensembles; Smirnov; Length.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:37788
Deposited On:24 May 2016 07:44
Last Modified:25 May 2016 08:40

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