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Nonlinear nonlocal diffusion of magnetic flux in thin type-II superconductors and Josephson junction arrays: Exact solutions | | S. N. Dorogovtsev
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10 Jul 1998 | | Journal: | Pis’ma v ZhETF 61 (1995) 477 [JETP Lett. 61 (1995) 491] - a short version | | Subject: | Condensed Matter; Mathematical Physics; Exactly Solvable and Integrable Systems | cond-mat math-ph math.MP nlin.SI solv-int | | Affiliation: | Ioffe Physico-Technical Institute, St. Petersburg, Russia | | Abstract: | An exact solution of the nonlinear nonlocal diffusion problem is obtained that describes the evolution of the magnetic flux injected into a soft or hard type-II superconductor film or a two-dimensional Josephson junction array. (The magnetic field in vortices is assumed to be perpendicular to the film; the electric field induced by the vortex motion is proportional to the local magnetic induction; flux creep in the hard superconductors under consideration is described by the logarithmic U(j) dependence.) Self-similar flux distributions with sharp square-root fronts are found. The fronts are shown to expand with power law time-dependence. A sharp peak in the middle of the distribution appears in the hard superconductor case. | | Source: | arXiv, cond-mat/9807165 | | Services: | Forum | Review | PDF | Favorites | |
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