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

We use Monte Carlo simulations to study the static and dynamical properties of a Potts glass with infinite-range Gaussian-distributed exchange interac tions 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 t ime at the theoretically predicted dynamical transition temperature T-D, pr oportional to (T = T-D)(-Delta) with Delta approximate to 2. For nite N a f urther power law at T = T-D is found, tau (T = T-D) proportional to N-z sta r with z(star) approximate to 1.5 and for T > T-D dynamical finite-size sca ling 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.