柱坐标下超导材料TDGL方程及其求解

TDGL equations of superconductor under cylindrical coordinate system and their solutions

目的探究超导线和超导圆盘的序参量及磁矢量势时空演化规律。方法首先推导出空间柱坐标情形下TDGL方程的具体形式,给出相应自然边界条件,然后针对不同超导结构进行简化,采用有限元数值方法进行求解。结果与结论给出了超导线和超导圆盘序参量及磁矢量势的空间变化规律和磁通旋涡随时间的演化结果。

Purposes-To investigate the temporal and spatial evolution law of the order parameter and magnetic-potential vector in superconducting wires and superconducting disks. Methods--The TDGL equations in cylindrical coordinates and the corresponding natural boundary conditions are de- rived firstly, and then the TDGL equations are simplified for different superconducting structures. Fi- nally the TDGL equations were solved with the finite element numerical method. Results and Conclu- sions-The temporal and spatial variation law of order parameter and magnetic-potential vector are given, and the evolution result of flux vortex with time is displayed.