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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2021 011, 22 pp. (Mi ipmp2929)

This article is cited in 7 papers

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

A. V. Ivanov


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, twoparticle correlations.

DOI: 10.20948/prepr-2021-11



© Steklov Math. Inst. of RAS, 2026