Critical State Theory for Nonparallel Flux Line Lattices in Type-II Superconductors
A. Badía, C. López
DOI 10.1103/PhysRevLett.87.127004 · Physical Review Letters
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Abstract
Field penetration profiles in type-II superconductors with nonparallel vortex configurations are obtained by a proposed least action principle. We introduce a functional C[H→] which is minimized for the current density constrained by J→∈Δ(H→,x→), where Δ is a bounded set. Within the isotropic case |J→|≤Jc(H), the profiles H→(x→,t) are derived for an applied changing excitation. The model can reproduce the physical phenomena of flux transport and consumption, and the magnetization collapse in crossed field measurements.
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