arXiv · 1108.0378
A non isothermal phase-field model for the ferromagnetic transition
Abstract
We propose a model for non isothermal ferromagnetic phase transition based on a phase field approach, in which the phase parameter is related but not identified with the magnetization. The magnetization is split in a paramagnetic and in a ferromagnetic contribution, dependent on a scalar phase parameter and identically null above the Curie temperature. The dynamics of the magnetization below the Curie temperature is governed by the order parameter evolution equation and by a Landau-Lifshitz type equation for the magnetization vector. In the simple situation of a uniaxial magnet it is shown how the order parameter dynamics reproduces the hysteresis effect of the magnetization.
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V. Berti, D. Grandi. 2011-08-01. A non isothermal phase-field model for the ferromagnetic transition. https://arxiv.org/abs/1108.0378
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