Diffusion of a magnetic skyrmion in 2-dimensional space
arXiv:2104.02345 · doi:10.1016/j.physleta.2021.127603
Abstract
Two-dimensional magnetic skyrmions are particle-like magnetic domains in magnetic thin films. The kinetic property of the magnetic skyrmions at finite temperature is well described by the Thiele equation, including a stochastic field and a finite mass. In this paper, the validity of the constant-mass approximation is examined by comparing the Fourier spectrum of Brownian motions described by the Thiele equation and the Landau-Lifshitz-Gilbert equation. Then, the 4-dimensional Fokker-Planck equation is derived from the Thiele equation with a mass-term. Consequently, an expression of the diffusion flow and diffusion constant in a tensor form is derived, extending Chandrasekhar's method for Thiele dynamics.
arXiv comment13 pages, 3 figures
References in corpus (10)
- The design and verification of Mumax3
- Spin-Wave Propagation in the Presence of Interfacial Dzyaloshinskii-Moriya Interaction
- Thermal skyrmion diffusion applied in probabilistic computing
- Inertia, diffusion and dynamics of a driven skyrmion
- Fluctuation Relations for Diffusion Processes
- Brownian motion in a magnetic field
- Topology-Dependent Brownian Gyromotion of a Single Skyrmion
- Brownian motion of magnetic domain walls and skyrmions, and their diffusion constants
- Kramers equation for a charged Brownian particle: The exact solution
- Quantum Brownian Motion of a Magnetic Skyrmion