Micromagnetics at High Temperature

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Abstract
The method of micromagnetics is extended to the cases in which the magnitude of the magnetization cannot be considered constant throughout a ferromagnetic body. The nonlinear equations, corresponding to Brown's equations in the standard treatment of micromagnetics, have been deduced with the proper boundary conditions, as well as their linearized form suitable for evaluation of the nucleation field and mode. Some relationships have been found between the nucleation field deduced in this way and the nucleation field for constant magnitude, emphasizing that a detailed knowledge of the magnetic equation of state of the material is needed for the determination of the true nucleation field. The case of a boundless plate with an applied field normal to its boundary planes has been considered in detail, and the existence of one nucleation mode, termed as "waving," peculiar to this treatment, has been recognized; the conditions for this mode of reversal have been deduced, with the result that it can be expected near the Curie temperature.

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