Phys. Rev. Lett. 87, 127004 (2001) [4 pages]Critical State Theory for Nonparallel Flux Line Lattices in Type-II SuperconductorsReceived 22 December 2000; published 30 August 2001 Field penetration profiles in type-II superconductors with nonparallel vortex configurations are obtained by a proposed least action principle. We introduce a functional C[H⃗] which is minimized for the current density constrained by J⃗∈Δ(H⃗,x⃗), where Δ is a bounded set. Within the isotropic case |J⃗|≤Jc(H), the profiles H⃗(x⃗,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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.127004
DOI:
10.1103/PhysRevLett.87.127004
PACS:
74.60.Jg, 74.60.Ge
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