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

Federico Corberi·Eugenio Lippiello·Marco Zannetti
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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 $χ(t,s)\simeq s^{-a_χ}f(t/s)$, we find $a_χ$ consistent with the value $a_χ=0.28$ found in the two-dimensional Ising model.

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Federico Corberi, Eugenio Lippiello, Marco Zannetti. 2006-10-23. Scaling and universality in the aging kinetics of the two-dimensional clock model. https://doi.org/10.1103/physreve.74.041106

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