A model of magnetic friction with the infinite-range interaction

Abstract

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.

10 pages, 7 figures; accepted for publication in Phys. Rev. E

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Cited by in corpus (4)

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• Nonmonotonic Magnetic Friction from Collective Rotor Dynamics
• Transition between the stick and slip states in a simplified model of magnetic friction
• Analysis of the finite-size effect of the long-range Ising model under Glauber dynamics