Nonlinear nonlocal diffusion of magnetic flux in thin type-II superconductors and Josephson junction arrays: Exact solutions
Dorogovtsev, S. N.
arXiv, 9807165 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-07-10
Classification:  Condensed Matter,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9807165,
     author = {Dorogovtsev, S. N.},
     title = {Nonlinear nonlocal diffusion of magnetic flux in thin type-II
  superconductors and Josephson junction arrays: Exact solutions},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807165}
}

Dorogovtsev, S. N. Nonlinear nonlocal diffusion of magnetic flux in thin type-II
  superconductors and Josephson junction arrays: Exact solutions. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807165/