Model of magnetic friction with infinite-range interaction

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 [Komatsu, Phys. Rev. E 100, 052130 (2019)2470-004510.1103/PhysRevE.100.052130]. This infinite-range model always obeys the Stokes law when the temperature is higher than the critical value, Tc, whereas it shows a crossover or transition from the Dieterich-Ruina law to the Stokes law when the temperature is lower than Tc. 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.