Correlation magnetodynamics equations taking into account the uniaxial quadratic correction in the approximation of the one-particle distribution function

The system of equations for correlation magnetodynamics (CMD) is based on the Bogolyubov chain and approximation of the two-particle distribution function taking into account the correlations between the nearest neighbors. CMD provides good agreement with atom-for-atom simulation results (which are considered ab initio), but there is some discrepancy in the phase transition region. To solve this problem, a new system of CMD equations is constructed, which takes into account the quadratic correction in the approximation of the one-particle distribution function. The system can be simplified in a uniaxial case.

Correlation magnetodynamics equations for antiferro- and ferrimagnets

Based on the Bogolyubov chain and a new approximation of the two-particle distribution function a new system of equations of correlation magnetodynamics is obtained for antiferro- and ferrimagnets. Body-centered and face-centered crystal lattices are considered. The system contains one world-magnetic equation of the Landau-Lifshitz-Bloch type for each sublattice and several equations for pairwise correlations between sublattices. In this case, the main difficulty is the calculation of the integral coefficients of the resulting system of equations.