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Dynamical susceptibility from simulations of a mean field Potts glass

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  • Brangian, Claudio

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.

Suggested Citation

  • Brangian, Claudio, 2004. "Dynamical susceptibility from simulations of a mean field Potts glass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 471-478.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:3:p:471-478
    DOI: 10.1016/j.physa.2003.12.057
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