Transition between the stick and slip states in a simplified model of magnetic friction

TL;DR

This paper presents a simplified magnetic friction model analyzing the transition between stick and slip states, revealing different behaviors depending on resistance coefficient and providing analytical and numerical insights.

Contribution

It introduces a simplified magnetic friction model and compares analytical and numerical results for different resistance regimes.

Findings

High resistance leads to thermally activated movement.

Low resistance results in metastable stick and slip states.

Velocities are accurately estimated using approximations.

Abstract

We introduce a simplified model of magnetic friction, and investigate its behavior using both numerical and analytical methods. When resistance coefficient $\gamma$ is large, the movement of the system obeys the thermally activated process. In contrast, when $\gamma$ is sufficiently small, the slip and stick states behave as separate metastable states, and the lattice velocity depends on the probability that the slip state appears. We evaluate the velocities in both cases using several approximations and compare the results with those of numerical simulations.