Monte Carlo model for the dynamic magnetization of microspheres

Monte Carlo method with a variable number of calculation steps is used for simulations of the magnetization dynamics in a microsphere consisting of a non-magnetic core coated with a layer of magnetic nanograins. Namely, the dynamic magnetic hysteresis under an AC field in such a core-shell microsphere is considered for the cases of non-interacting particles and with allowance for the interparticle dipole-dipole interaction. The time portions corresponding to one calculation step are estimated from comparison of the Monte Carlo-Metropolis results and a numerically-exact solution of the kinetic equation.