# Effects of Boundary Conditions on Magnetic Friction

## TL;DR

This study investigates how boundary conditions and sample thickness influence magnetic friction in ferromagnetic Ising models, revealing controllable frictional forces via boundary magnetic fields and critical temperature singularities.

## Contribution

It demonstrates the impact of boundary conditions on magnetic friction and introduces a method to control frictional forces using boundary magnetic fields.

## Key findings

- Friction can be controlled by boundary magnetic fields.
- Critical temperature exhibits singularity dependent on velocity.
- Boundary conditions significantly affect magnetic friction behavior.

## Abstract

We consider magnetic friction between two square lattices of the ferromagnetic Ising model of finite thickness. We analyze the dependence on the boundary conditions and the sample thickness. Monte Carlo results indicate that the setup enables us to control the frictional force by magnetic fields on the boundaries. In addition, we confirm that the temperature derivative of the frictional force as well as that of the boundary energy has singularity at a velocity-dependent critical temperature.