Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass
Institute of Physics, Johannes Gutenberg University
Staudinger Weg 7, D55099 Mainz, Germany
Accepted: 2 January 2001
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 τ at the theoretically predicted dynamical transition temperature , with . For finite N a further power law at is found, with and for 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.
PACS: 64.70.Pf – Glass transitions / 75.10.Nr – Spin-glass and other random models / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EDP Sciences, 2001