Dynamical susceptibility from simulations of a mean field Potts glass

Claudio Brangian

Physica A: Statistical Mechanics and its Applications, 2004, vol. 338, issue 3, 471-478

Abstract: We present results of the non-linear dynamic susceptibility χ(t) in a mean field Potts glass from simulations in a wide range of temperatures above the theoretically predicted dynamical transition, for various system sizes up to 2560 spins. χ(t) has a maximum, with a height that diverges like (T−TD)−α, with α≈1. The timescale t∗ associated with this maximum also approaches a singularity, and we show that its behavior is compatible with the relaxation time of the standard time-dependent spin autocorrelation function, also with respect to finite size effects. We find that χ(t) for temperatures near the transition temperature TD satisfies a dynamical scaling property.

Keywords: Dynamical transition; Glass transition; Spin glasses; Relaxation times; Lattice models (Ising; Monte Carlo (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:338:y:2004:i:3:p:471-478

DOI: 10.1016/j.physa.2003.12.057

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