A simple vector generalization of the Jiles-Atherton model of hysteresis

A vector generalization of the Jiles-Atherton model of ferromagnetic hysteresis is proposed. It gives a differential equation relating vector magnetization to vector magnetic field and essentially retains the simplicity of the original scalar model. The model can handle both the isotropic and anisotropic case and is equivalent to the scalar model for unidirectional fields. It exhibits major features of vector hysteresis such as rotational hysteresis and DC magnetization.