A model of magnetic friction with the infinite-range interaction

TL;DR

This paper analyzes a magnetic friction model with infinite-range interactions, revealing temperature-dependent behaviors that differ from short-range models, including adherence to Stokes law above a critical temperature and crossover behaviors below it.

Contribution

It introduces and compares an infinite-range interaction model of magnetic friction with previous short-range models, highlighting distinct temperature-dependent behaviors.

Findings

Infinite-range model obeys Stokes law above T_c

Below T_c, the model shows crossover from Dieterich--Ruina to Stokes law

High-temperature behavior differs from short-range models

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.