Approximation of many-particle distribution functions for ferromagnetics with different crystal lattices
Abstract:
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.
Keywords:
the Landau–Lifshitz–Bloch equation, the BBGKY hierarhy, two-particle correlations
Publication language:russian, pages:22
Research direction:
Mathematical modelling in actual problems of science and technics
