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arXiv · 1208.4903

Double stochastic resonance in the mean-field $q$-state clock models

Seung Ki Baek·Beom Jun Kim
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Abstract

A magnetic system with a phase transition at temperature $T_c$ may exhibit double resonance peaks under a periodic external magnetic field because the time scale matches the external frequency at two different temperatures, one above $T_c$ and the other below $T_c$. We study the double resonance phenomena for the mean-field $q$-state clock model based on the heat-bath-typed master equation. We find double peaks as observed in the kinetic Ising case ($q=2$) for all $q\ge 4$, but for the three-state clock model ($q=3$), the existence of double peaks is possible only above a certain external frequency since it undergoes a discontinuous phase transition.

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Seung Ki Baek, Beom Jun Kim. 2012-08-24. Double stochastic resonance in the mean-field $q$-state clock models. https://doi.org/10.1103/physreve.86.011132

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