Abstract: In this paper we do computations that describe a rigid, uniaxial, ferromagnetic material in a varying applied magnetic field. Our computations are based on a relaxed model with a nonlocal exchange energy. The model is based on the theory of Young-measures, but we show that our calculations can be based on only the first and second moments. Thus, we can do rigorous and accurate calculations without examining the full oscillating sequences that induce the Young-measure. We show that by varying the strength of the exchange energy we can induce hysteresis and observe hysteresis subloops and domain rotation. !12
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