Stochastic dynamic simulations of fast remagnetization processes: recent advances and applications

Numerical simulations of fast remagnetization processes using stochastic dynamics are widely used to study various magnetic systems. In this paper, we first address several crucial methodological problems of such simulations: (i) the influence of finite-element discretization on simulated dynamics, (ii) choice between Ito and Stratonovich stochastic calculi by the solution of micromagnetic stochastic equations of motion and (iii) non-trivial correlation properties of the random (thermal) field. Next, we discuss several examples to demonstrate the great potential of the Langevin dynamics for studying fast remagnetization processes in technically relevant applications: we present numerical analysis of equilibrium magnon spectra in patterned structures, study thermal noise effects on the magnetization dynamics of nanoelements in pulsed fields and show some results for a remagnetization dynamics induced by a spin-polarized current.