Scaling and universality in the aging kinetics of the two-dimensional clock model

Abstract

We study numerically the aging dynamics of the two-dimensional p-state clock model after a quench from an infinite temperature to the ferromagnetic phase or to the Kosterlitz-Thouless phase. The system exhibits the general scaling behavior characteristic of non-disordered coarsening systems. For quenches to the ferromagnetic phase, the value of the dynamical exponents, suggests that the model belongs to the Ising-type universality class. Specifically, for the integrated response function $\chi (t,s)\simeq s^{-a_{\chi }}f(t/s)$, we find $a_{\chi }$ consistent with the value $a_{\chi }=0.28$ found in the two-dimensional Ising model.

16 pages, 14 figures (please contact the authors for figures)

References in corpus (2)

• Scaling of the linear response in simple ageing systems without disorder
• Generic features of the fluctuation dissipation relation in coarsening systems

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