Monte-Carlo modeling of magnetization kinetics of ferromagnetic nanoparticles

The Monte-Carlo method, being a powerful tool for finding the equilibrium states (and/or corresponding averaged characteristics) of diverse systems, in a number of situations can be successfully used also to describe the development of kinetic processes. In the present paper, the Monte-Carlo modeling is performed of the magnetic relaxation and the dynamics of forced magnetization of an ensemble of ferromagnet nanoparticles. By comparison with the exact solution, it is shown that in both cases the proportionality between the number of calculation steps and the physical duration of the transient or periodical process takes place. On this basis, the relations enabling one to quantify a single Monte-Carlo step in the real-time units are proposed. With respect to magnetic relaxation, the obtained result extends the well-known Nowak–Chantrell–Kennedy formula for the case of the nanoparticles with a finite magnetic anisotropy.