Approximation of the coefficients of the Landau–Lifshitz–Bloch equation in micromagnetic modeling

The Landau–Lifshitz–Bloch equation is currently the main tool for describing the evolution of magnetization taking into account temperature fluctuations when creating spintronics and magnetic microelectronics devices. The coefficients of the equation depend on the average magnetization at a given point in space, and are calculated as higher moments of the model distribution function.
The calculation of the coefficients requires a preliminary solution of the transcendental algebraic equations for determining the parameters of the distribution function, in addition, as a rule, a rather rough approximation is used, not taking into account significant differences in the structure of the anisotropy field and other fields.
This paper presents an analytical approximation of the coefficients of the Landau–Lifshitz–Bloch equation providing accuracy up to the third digit, allowing to increase the adequacy of micromagnetic modeling and increase the pace of calculations.