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

Abstract

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 behavior of our data is nicely described by straightforward finite-size scaling relations.

23 pages, 9 figures. Version accepted for publication in J. Stat. Mech

References in corpus (5)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• The critical behavior of three-dimensional Ising spin glass models
• Finite size corrections in the Sherrington-Kirkpatrick model
• Predictive power of MCT: Numerics and Finite size scaling for a mean field spin glass
• Role of the Tracy-Widom distribution in the finite-size fluctuations of the critical temperature of the Sherrington-Kirkpatrick spin glass

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