论文标题
Ginzburg-Landau刚度计的模型 - 超导刚度仪表设备
Ginzburg-Landau model of a Stiffnessometer -- a superconducting stiffness meter device
论文作者
论文摘要
我们研究了描述刚度计设备实验设置的超导性的金茨堡 - 兰道方程。特别是，我们考虑了非线性状态，该状态揭示了超导临界电流对刚度计信号的影响。正如预期的那样，我们发现，在高磁通状态下，超导状态的某些部分被破坏。但是，令人惊讶的是，我们发现超导性不会随着通量增加而逐渐衰减至零，而是溶液的分支经历分支折叠。我们使用渐近分析来表征其存在的众多参数制度的解决方案。工作的立即应用是该制度的扩展，其中可以解释刚度计设备的实验测量。
We study the Ginzburg-Landau equations of super-conductivity describing the experimental setup of a Stiffnessometer device. In particular, we consider the nonlinear regime which reveals the impact of the superconductive critical current on the Stiffnessometer signal. As expected, we find that at high flux regimes, superconductivity is destroyed in parts of the superconductive regime. Surprisingly, however, we find that the superconductivity does not gradually decay to zero as flux increases, but rather the branch of solutions undergoes branch folding. We use asymptotic analysis to characterize the solutions at the numerous parameter regimes in which they exist. An immediate application of the work is an extension of the regime in which experimental measurements of the Stiffnessometer device can be interpreted.
