A nonisothermal phase‐field model for the ferromagnetic transition. (14th September 2012)

• Record Type: Journal Article
• Authors: Berti, V.; Grandi, D.
• Is Part Of: Mathematical methods in the applied sciences. Volume 36:Number 11(2013:Jul. 30)
• Page Start: 1342
• Page End: 1349
• Publication Date: 2012-09-14
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2686
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2686-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2686-para-0001">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 &amp; Sons, Ltd.</p> </abstract>