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首页> 外文期刊>SIAM Journal on Mathematical Analysis >THE STABILITY OF THE NORMAL STATE OF SUPERCONDUCTORS IN THE PRESENCE OF ELECTRIC CURRENTS
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THE STABILITY OF THE NORMAL STATE OF SUPERCONDUCTORS IN THE PRESENCE OF ELECTRIC CURRENTS

机译:存在电电流时超导体正常状态的稳定性

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摘要

The stability of the normal state of superconductors in the presence of electric currents is studied in the large domain limit. The model being used is the time-dependent Ginzburg-Landau model, in the absence of an applied magnetic field, and with the effect of the induced magnetic field being neglected. We find that if the current is nowhere perpendicular to the boundary, or if the minimal current on the boundary, at points where it is perpendicular to it, is greater than the critical current in the one-dimensional case, then the normal state is stable. We also prove some short-time instability when the current is both perpendicular to the boundary and smaller than the one-dimensional critical current.
机译:在大的域范围内研究了存在电流时超导体正常状态的稳定性。使用的模型是时间相关的Ginzburg-Landau模型,在没有施加磁场的情况下,忽略了感应磁场的影响。我们发现,如果电流不垂直于边界,或者如果边界上的最小电流(垂直于该点的电流)大于一维情况下的临界电流,则正常状态是稳定的。当电流既垂直于边界又小于一维临界电流时,我们还证明了一些短时不稳定性。

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