# Skyrmion relaxation dynamics in the presence of quenched disorder

## TL;DR

This study uses Langevin molecular dynamics to explore how skyrmion systems relax under different conditions, revealing the effects of quenched disorder, the Magnus force, and pinning sites on their dynamical scaling and relaxation behavior.

## Contribution

It provides new insights into skyrmion relaxation dynamics, especially how the Magnus force and pinning sites influence scaling and aging in disordered environments.

## Key findings

- Clean systems exhibit dynamical scaling regardless of the length-time relation.
- Magnus force creates distinct regimes depending on noise strength.
- Pinning sites cause skyrmion trapping and complex auto-correlation behaviors.

## Abstract

Using Langevin molecular dynamics simulations we study relaxation processes of interacting skyrmion systems with and without quenched disorder. Using the typical diffusion length as the time-dependent length characterizing the relaxation process, we find that clean systems always display dynamical scaling, and this even in cases where the typical length is not a simple power law of time. In the presence of the Magnus force, two different regimes are identified as a function of the noise strength. The Magnus force has also a major impact when attractive pinning sites are present, as this velocity-dependent force helps skyrmions to bend around defects and avoid caging effects. With the exception of the limit of large noise, for which dynamical scaling persists even in the presence of quenched disorder, attractive pinning sites capture a substantial fraction of skyrmions which results in a complex behavior of the two-time auto-correlation function that is not reproduced by a simple aging scaling ansatz.