Within the continuum thermodynamic framework, we derive the evolution equation for the magnetization vector in a ferromagnetic body. This procedure leads to an evolution equation that generalizes the well-known Landau–Lifshitz model for magnetically saturated bodies and looks very similar to the Landau–Lifshitz–Bloch equation which was obtained by Garanin in 1997 from statistical mechanics. As a byproduct, we also obtain a generalization of the Gilbert equation when the magnetic field is far from saturation. By virtue of a suitable choice of the Gibbs free energy, this phenomenological model is able to describe the phase transition occurring from the paramagnetic to the ferromagnetic regime in anisotropic ferromagnets.

Derivation of the Landau-Lifshitz-Bloch equation from continuum Thermodynamics

GIORGI, Claudio;BERTI, Alessia
2016-01-01

Abstract

Within the continuum thermodynamic framework, we derive the evolution equation for the magnetization vector in a ferromagnetic body. This procedure leads to an evolution equation that generalizes the well-known Landau–Lifshitz model for magnetically saturated bodies and looks very similar to the Landau–Lifshitz–Bloch equation which was obtained by Garanin in 1997 from statistical mechanics. As a byproduct, we also obtain a generalization of the Gilbert equation when the magnetic field is far from saturation. By virtue of a suitable choice of the Gibbs free energy, this phenomenological model is able to describe the phase transition occurring from the paramagnetic to the ferromagnetic regime in anisotropic ferromagnets.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/487212
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