Title :
Dynamic approximation of rectangular loops and aftereffect
Author_Institution :
Dept. of Electr. & Comput. Eng., George Washington Univ., DC, USA
Abstract :
This paper presents a new approach to model hysteresis and aftereffect phenomena. A dynamic approximation of rectangular hysteresis loops is employed that leads to the representation of the input-output relationship as a first-order dynamical system driven by white noise. Closed-form expressions are derived for the output of rectangular loops in terms of convolution-type integrals. The formalism allows one to circumvent some of the mathematical challenges associated with history-dependent switching of rectangular hysteresis loops driven by stochastic processes.
Keywords :
magnetic aftereffect; magnetic hysteresis; aftereffect; dynamic approximation; first-order dynamical system; hysteresis loops; input-output relationship; rectangular loops; stochastic processes; white noise; Closed-form solution; Differential equations; Fluctuations; Magnetic fields; Magnetic hysteresis; Quantum computing; Stochastic processes; Stochastic resonance; Stochastic systems; White noise;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.816470
