Critical state theory for nonparallel flux line lattices in type-II superconductors -: art. no. 127004

Field penetration profiles in type-H superconductors with nonparallel vortex configurations are obtained by a proposed least action principle. We introduce a functional C[(H) over right arrow] which is minimized for the current density constrained by (J) over right arrow is an element of Delta((H) over right arrow,(x) over right arrow), where Delta is a bounded set. Within the isotropic case \(J) over right arrow\ less than or equal to J(c) (H), the profiles (H) over right arrow((x) over right arrow, 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.