Diffusion of a magnetic skyrmion in two-dimensional space

Two-dimensional magnetic skyrmions are particle-like domains in thin films. The kinetic property of at finite temperature is well described by the Thiele equation, including a stochastic field and mass. This study examines validity constant-mass approximation comparing Fourier spectrum Brownian motions equation Landau–Lifshitz–Gilbert equation. Then, expression diffusion flow derived from four-dimensional Fokker–Planck considering Chandrasekhar's solution for dynamics. Finally, method to observe gyro-diffusion discussed.