A new scaling approach for the mesoscale simulation of magnetic domain structures using Monte Carlo simulations

A new scaling approach has been proposed for the spin exchange and the dipole-dipole interaction energy as a function of the system size. The computed scaling laws are used in atomistic Monte Carlo simulations of magnetic moment evolution to predict the transition from single domain to a vortex structure as the system size increases. The width of a 180° - domain wall extracted from the simulated structures is in close agreement with experimentally values for an F-Si alloy. The transition size from a single domain to a vortex structure is also in close agreement with theoretically predicted and experimentally measured values for Fe.