Abstract
A set of N coupled differential equations has been developed for calculating the history-dependent magnetization of an ensemble of single domain magnetic particles. These equations, which are a generalization of a previously reported two-state model, have been solved for the case of hysteresis loops for various numbers of states, N, and several field sweep rates. It has been found that the two-state model significantly misestimates the coercivity and that satisfactory convergence may be achieved by N=16. Coercivity was observed to increase logarithmically with field sweep rate.
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