Potomkin M. The localized movement dynamics of a ferromagnetic particle in a rapidly oscillating magnetic field

An apparatus for the localized movement dynamics of a particle with intrinsic magnetic moment using an oscillating inhomogeneous magnetic field has been studied. The Bogolyubov-Kapitsa's method for localization of a particle with intrinsic magnetic moment is offered and using of an oscillating inhomogeneous magnetic field allows creating of a potential minimum which provides the conditions for the localization of a particle in a flow of liquid is shown as well. Maximum amplitude of oscillation functional dependency from dimensionless parameters is shown. The numerical calculations based on the equations of a movement dynamic of a particle which allow defining a critical value of a frequency parameter of an external magnetic field, one which separate the frequency range where it's possible to localize a ferromagnetic particle from the one where it's impossible is shown. The hypothesis of a ferromagnetic bias in an oscillating magnetic field in consideration of Landau-Lifshitz equation of dynamic magnetization is proven.