An Approach to Modeling and Scaling of Hysteresis in Magnetic Materials. Magnetization Curve
K.Z. Sokalski
Institute of Computer Science, Częstochowa University of Technology, al. Armii Krajowej 17, 42-200 Częstochowa, Poland
Received: January 8, 2015; In final form: February 5, 2015
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A new mathematical model of hysteresis loop has been derived. Model consists in an extension of tanh(·) by extending the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with respect to scaling. Scaling of magnetic hysteresis loop has been done using the notion of homogeneous function in general sense.

DOI: 10.12693/APhysPolA.127.850
PACS numbers: 75.50.-y, 75.60.-d, 89.75.Da