各向异性Ginzburg-Landau超导模型整体极小元的注记

详细信息

THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

摘要: 研究当磁场 $h_{ex}$ 小于第一临界磁场 $H_{C_{1}}$ 时，各向异性Ginzburg-Landau超导模型整体极小元的存在性了;找到了存在无涡漩的整体极小元;当 $H_{c_{1}}h_{ex}H_{c_{2}}$ 时，证明了涡漩的密度等于外加磁场.
- 临界磁场 /
- 涡漩 /
- 各向异性Ginzburg-Landau模型
Abstract: The existence of the global minimizers of the Ginzburg-Landau functional for an anisotropic superconducting sample in a magnetic field $h_{ex}$ below the first critical field $H_{C_{1}}$ is proved. It is shown that there exists a vortex-less solution coincide with the solution found by the authors in a related paper, and that the density of the vortices is relevant to the applied field as $H_{c_{1}}h_{ex}H_{c_{2}}$ .
- Critical magnetic field /
- vortices /
- anisotropic Ginzburg-Landau model