被正常导体包围的超导体向正常相的转变
On the transition to the normal phase for superconductors surrounded by normal conductors
摘要：
对于被正常材料包围的圆柱形超导体，我们讨论了稳定、局部稳定和临界组态向正常相的转变。与这些相变，我们定义了临界磁场，我们提供了一个充分条件，这些临界场重合。特别是，当超导和正常材料的电导率比是大的，我们表明，上述临界磁场重合，从而证明了正常相的过渡是尖锐的。本文中的一个关键成分是分析一个椭圆型边值问题涉及“传输”边界条件。另一个关键因素涉及具有不连续系数的磁薛定谔算子的第一本征值的单调性结果（相对于磁场强度）。
英文摘要：
For a cylindrical superconductor surrounded by a normal material, we discuss transition to the normal phase of stable, locally stable and critical configurations. Associated with those phase transitions, we define critical magnetic fields and we provide a sufficient condition for which those critical fields coincide. In particular, when the conductivity ratio of the superconducting and the normal material is large, we show that the aforementioned critical magnetic fields coincide, thereby proving that the transition to the normal phase is sharp. One key-ingredient in the paper is the analysis of an elliptic boundary value problem involving `transmission' boundary conditions. Another key-ingredient involves a monotonicity result (with respect to the magnetic field strength) of the first eigenvalue of a magnetic Schroedinger operator with discontinuous coefficients.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
