Vector magnetic hysteresis of hard superconductors
A. Badía, C. López
DOI 10.1103/PhysRevB.65.104514 · Physical Review B
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Abstract
Critical state problems that incorporate more than one component for the magnetization vector of hard superconductors are investigated. The theory is based on the minimization of a cost functional C[H→(x→)] which weighs the changes of the magnetic-field vector within the sample. We show that Bean’s simplest prescription for choosing the correct sign for the critical current density Jc in one-dimensional problems is just a particular case of finding the components of the vector Jc. Jc is determined by minimizing C under the constraint J→∈Δ(H→,x→), with Δ a bounded set. Upon the selection of different sets Δ we discuss existing crossed field measurements and predict observable features. It is shown that a complex behavior in the magnetization curves may be controlled by a single external parameter, i.e., the maximum value of the applied magnetic field Hm.
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