On the Problem of Generalization of the Landau–Lifshitz Equation

Abstract

Using the method of compiling an expression invariant with respect to the operations of inversion of time and coordinates for the energy of a magnetic structure under the influence of some external effective field which is considered an independent vector parameter of the problem, a system of differential equations generalized the Landau–Lifshitz and Hilbert results is obtained. When obtaining these equations, the explicit expression for the dissipative function are obtained taking into account the pseudovector the nature of the magnetic field strength. The analysis of the obtained equations for the case of strong magnetic fields is carried out and the possibility of the existence of practically continuous oscillations of the magnetization at a frequency \(\bar {\omega }\) = \(\xi {{\gamma }_{e}}{{M}_{0}}\) (where coefficient ξ is greater than unity) is predicted.