6533b7d2fe1ef96bd125e2c7
RESEARCH PRODUCT
Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass
Kurt BinderClaudio BrangianWalter Kobsubject
PhysicsStatistical Mechanics (cond-mat.stat-mech)SpinsTransition temperatureMonte Carlo methodFOS: Physical sciencesGeneral Physics and AstronomyOrder (ring theory)Disordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksPower lawMean field theorySymmetry breakingScalingCondensed Matter - Statistical MechanicsMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-03-01 | Europhysics Letters (EPL) |