平均场$q$态时钟模型中的双随机共振
Double stochastic resonance in the mean-field $q$-state clock models
摘要：
在温度$T_c$下具有相变的磁系统可以在周期性外部磁场下呈现双共振峰，因为时间尺度匹配两个不同温度下的外部频率，一个温度高于$T_c$，另一个温度低于$T_c$。研究了基于热浴型主方程的平均场$q$态时钟模型的双共振现象。我们发现双峰中观察到的动力伊辛的情况下（$q=2$）的所有$q\ge 4$，但三态时钟模型（$q=3$），双峰的存在是可能的，只有在一定的外部频率以上，因为它经历了一个不连续的相变。
英文摘要：
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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