A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures

A new approach to determination of the equilibrium magnetization in discrete model of a ferromagnetic is presented. Solving this problem is reduced to a system of linear inhomogeneous equations with Lagrange multipliers. The possibility of finding the numerical solutions of such systems is shown by applying of a modified power method. The efficiency of this approach is proved by examples of modelling magnetic microstructure and magnetization reversal process in a nanostructured thin magnetic film.