On the magnetization of polycrystalline magnets with strong anisotropy

Based on the exact analytical solutions and using the three- and four-state standard and the modified six- and eight-state 1D Potts models as prototypes, algorithms for calculating the magnetization of polycrystalline (or powder) cubic magnets with a strong magnetocrystalline anisotropy and different types of easy axes for different temperatures in an external magnetic field have been suggested. General laws that govern the magnetization of polycrystals and their significant differences from those that control the magnetization of single crystals have been determined. Exact analytical values of the asymptotes of the magnetization of polycrystals in large fields, which demonstrate how a magnetic moment obtained by the method of asymptotic magnetization differs from the true magnetic moment have been found.