Approximation of many-particle distribution functions for ferromagnetics with different crystal lattices

We propose the new system of equations for magnetodynamics. Thus we call the new system of equations correlational magnetodynamics system (CMD). It consists of well known Landau–Lifshitz–Bloch(LLB) equation complemented with an equation for two-particles correlations. It is based on BBGKY hierarchy, the key issue is the approximation of the many-particle distribution functions taking into account the correlations between the nearest neighbors for different (primitive, body-centered and face-centered) crystal lattices. Compared to traditional LLB equation, numerical simulations with CMD produces results that are closer to atomistic simulations.