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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
; | | Date: |
29 Sep 2000 | | Journal: | Europhys. Lett. 53, 756-761 (2001). | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | Affiliation: | Institute of Physics, Mainz, Germany | | 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)^{-Delta} 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. | | Source: | arXiv, cond-mat/0009475 | | Services: | Forum | Review | PDF | Favorites | |
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