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Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass

Claudio Brangian·Walter Kob·Kurt Binder
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Abstract

We use Monte Carlo simulations to study the static and dynamical properties of a Potts glass with infinite range Gaussian distributed exchange interactions for a broad range of temperature and system size up to N=2560 spins. The results are compatible with a critical divergence of the relaxation time tau at the theoretically predicted dynamical transition temperature T_D, tau \propto (T-T_D)^{-Δ} with Delta \approx 2. For finite N a further power law at T=T_D is found, tau(T=T_D) \propto N^{z^\star} with z^\star \approx 1.5 and for T>T_D dynamical finite-size scaling seems to hold. The order parameter distribution P(q) is qualitatively compatible with the scenario of a first order glass transition as predicted from one-step replica symmetry breaking schemes.

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Claudio Brangian, Walter Kob, Kurt Binder. 2000-09-29. Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass. https://doi.org/10.1209/epl%2Fi2001-00216-4

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