Nonlinear nonlocal diffusion of magnetic flux in thin type-II superconductors and Josephson junction arrays: Exact solutions

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dc.creatorDorogovtsev, S. N.
dc.date1998-07-10
dc.date.accessioned2026-07-07T03:11:03Z
dc.date.available2026-07-07T03:11:03Z
dc.descriptionAn 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.
dc.description5 pages (epsf-LaTeX) and 3 EPS figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9807165
dc.identifierhttp://arxiv.org/abs/cond-mat/9807165
dc.identifierPis'ma v ZhETF 61 (1995) 477 [JETP Lett. 61 (1995) 491] - a short version
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28433
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonlinear nonlocal diffusion of magnetic flux in thin type-II superconductors and Josephson junction arrays: Exact solutions
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