Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass
Claudio Brangian, Walter Kob, Kurt Binder
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 TD, tau (T-TD)-Δ with Delta ≈ 2. For finite N a further power law at T=TD is found, tau(T=TD) Nz with z ≈ 1.5 and for T>TD 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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