A nonisothermal phase‐field model for the ferromagnetic transition |
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Authors: | V Berti D Grandi |
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Institution: | Department of Mathematics, University of Bologna, , 40126 Bologna, Italy |
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Abstract: | We propose a model for nonisothermal 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. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | dynamic and nonequilibrium phase transitions (general) magnetic materials problems involving hysteresis |
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