# Thermal Collapse of a Skyrmion

## TL;DR

This paper investigates the thermal collapse of isolated skyrmions on a 2D spin lattice using stochastic Landau-Lifshitz-Gilbert equations, deriving analytical formulas that align with experimental and numerical results.

## Contribution

It introduces a numerical approach using a pulse-noise algorithm and derives analytical formulas for skyrmion collapse rates, energy barriers, and field dependence.

## Key findings

- Collapse rate follows Arrhenius law
- Analytical formulas support numerical results
- Findings agree with experiments and other simulations

## Abstract

Thermal collapse of an isolated skyrmion on a two-dimensional spin lattice has been investigated. The method is based upon solution of the system of stochastic Landau-Lifshitz-Gilbert equations for up $10^4$ spins. Recently developed pulse-noise algorithm has been used for the stochastic component of the equations. The collapse rate follows the Arrhenius law. Analytical formulas derived within a continuous spin-field model support numerically-obtained values of the energy barrier and the pre-exponential factor, and their dependence on the magnetic field. Our findings agree with experiments, as well as with recent numerical results obtained by other methods.