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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 model.

作者信息

Baek Seung Ki, Kim Beom Jun

机构信息

School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 1):011132. doi: 10.1103/PhysRevE.86.011132. Epub 2012 Jul 30.

DOI:10.1103/PhysRevE.86.011132
PMID:23005393
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-type master equation. We find double peaks as observed in the kinetic Ising case (q = 2) for all q ≥ 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.

摘要

一个在温度(T(c))发生相变的磁系统,在周期性外磁场下可能会出现双共振峰,因为在两个不同温度下,时间尺度与外场频率相匹配,一个温度高于(T(c)),另一个低于(T(c))。我们基于热浴型主方程研究了平均场(q)态时钟模型的双共振现象。我们发现,对于所有(q\geq4),都能观察到与动力学伊辛模型((q = 2))情况类似的双峰,但对于三态时钟模型((q = 3)),由于它经历不连续相变,只有在外场频率高于某个特定值时才可能存在双峰。

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