无限程相互作用下的磁摩擦模型
A model of magnetic friction with the infinite-range interaction
摘要：
本文用平均场分析和数值模拟的方法研究了一个具有无限程相互作用的磁摩擦模型，并将其行为与我们以前考虑过的短程模型[H.~ Komatsu，Phys.修订版本\ E. \textbf{100}，052130（2019）]。当温度高于临界值$T_c$时，该无限程模型总是服从斯托克斯定律，而当温度低于$T_c$时，它显示出从Dieterich-Ruina定律到斯托克斯定律的交叉或过渡。考虑到我们以前研究中的短程模型显示出交叉或转变，而不管温度是高于还是低于平衡转变温度，高温状态下的行为是这两个模型之间的主要区别。
英文摘要：
We investigate a model of magnetic friction with the infinite-range interaction by mean field analysis and a numerical simulation, and compare its behavior with that of the short-range model that we considered previously [H.~Komatsu, Phys.\ Rev.\ E.\ \textbf{100}, 052130 (2019)]. This infinite-range model always obeys the Stokes law when the temperature is higher than the critical value, $T_c$, whereas it shows a crossover or transition from the Dieterich--Ruina law to the Stokes law when the temperature is lower than $T_c$. Considering that the short-range model in our previous study shows a crossover or transition irrespective of whether the temperature is above or below the equilibrium transition temperature, the behavior in the high-temperature state is the major difference between these two models.
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