II型超导体涡旋态的爆破不稳定性
Blow-up instability in the vortex sate of type II superconductors
摘要：
本文研究了具有幂律伏安特性的磁通蠕动区中第二类超导体中的热微扰和电磁微扰。利用热扩散方程，结合麦克斯韦方程组和物质定律，假设热扩散小于磁扩散，计算了温度和电场的时空演化。得到了一个显式的类似爆破的解，它描述了由于磁通跳跃不稳定性引起的电磁场和温度的时空演化。
英文摘要：
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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