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      Critical state theory for nonparallel flux line lattices in type-II superconductors

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          Abstract

          Coarse-grained flux density profiles in type-II superconductors with non-parallel vortex configurations are obtained by a proposed phenomenological least action principle. We introduce a functional \(C[H(x)]\), which is minimized under a constraint of the kind \(J\) belongs to \(Delta\) for the current density vector, where \(Delta\) is a bounded set. This generalizes the concept of critical current density introduced by C. P. Bean for parallel vortex configurations. In particular, we choose the isotropic case (\(Delta\) is a circle), for which the field penetration profiles \(H(x,t)\) are derived when a changing external excitation is applied. Faraday's law, and the principle of minimum entropy production rate for stationary thermodynamic processes dictate the evolution of the system. Calculations based on the model can reproduce the physical phenomena of flux transport and consumption, and the striking effect of magnetization collapse in crossed field measurements.

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          Journal
          cond-mat/0107336
          10.1103/PhysRevLett.87.127004

          Condensed matter
          Condensed matter

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