Abstract

An application of the Landau theory of phase transitions to the construction of a thermodynamical equation of state for a uniaxial ferromagnetic crystal is presented. This equation of state is taken as starting point for the construction of a phenomenological constitutive law for bulk ferromagnetic hysteresis. This law describes both alternating and rotational hysteresis, reversible and irreversible magnetization, complex minor and major loop behavior, anhysteretic magnetization, and the Rayleigh relationship for weak fields. A geometrical interpretation, which was discussed briefly earlier (see Ref. 1), is given and it is shown that this law can be understood as an extension of the oft-cited Preisach model to the vectorial case. It is also shown that this law compares favorably with other recent extensions (see Ref. 2). Last, the mathematical problems raised by the solution of the Maxwell field equations in the presence of such constitutive laws are discussed.<ks>

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