Physics – Condensed Matter
Scientific paper
1998-07-10
Pis'ma v ZhETF 61 (1995) 477 [JETP Lett. 61 (1995) 491] - a short version
Physics
Condensed Matter
5 pages (epsf-LaTeX) and 3 EPS figures
Scientific paper
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.
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