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

2011/11/02 by Nizom Taylanov, Taylanov, N. A., A. S. Rakhmatov +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1111.0394

openalex publication_date 2011/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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