Analytical Description of Quasi-Random Magnetization Relaxation to Equilibrium

Author

Serpico, Claudio ; D´Aquino, Massimiliano ; Bertotti, Giorgio ; Mayergoyz, Isaak D.

Author_Institution

Dept. of Electr. Eng., Univ. of Naples Federico II, Naples, Italy

Volume

45

Issue

11

fYear

2009

Firstpage

5224

Lastpage

5227

Abstract

The Landau-Lifshitz (LL) dynamics of a uniformly magnetized particle is considered. The LL equation is written in the form of a Hamiltonian perturbed dynamical system. By using suitable averaging technique, the equation for the slow dynamics of the energy is derived. The averaging technique breaks up in the case of separatrix crossing. It is shown that, in the limit of small damping, the separatrix crossing can be described by using a probabilistic approach.

Keywords

magnetic particles; magnetic relaxation; magnetisation; probability; Hamiltonian perturbed dynamical system; Landau-Lifshitz dynamics; averaging technique; damping; probabilistic approach; quasirandom magnetization relaxation; separatrix crossing; uniformly magnetized particle; Damping; Differential equations; Educational institutions; Integral equations; Magnetic analysis; Magnetic separation; Magnetic switching; Magnetization processes; Polarization; Spin valves; Averaging technique; magnetization processes; relaxation processes; separatrix crossing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2009.2031067

Filename

5297503