Blow-up instability in the vortex sate of type II superconductors

Details Blow-up instability in the vortex sate of type II superconductors Blow-up instability in the vortex sate of type II superconductors

2011-11-02

arxiv.org/abs/1111.0394v1

Physics

Condensed Matter

Superconductivity

3 pages, 3 figures

Scientific paper

A theoretical study of small thermal and electromagnetic perturbations in type-II superconductors is studied in the flux creep regime with a power-law voltage-current characteristics. The space-time evolution of temperature and electric field was calculated using the heat diffusion equation, coupled with Maxwell's equations and material law, assuming that heat diffusion is small that the magnetic diffusion. An explicit blow-up-like solution is obtained, which describes the time and space evolution of the electromagnetic field and temperature due to flux jump instabilities.

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