Abstract This article presents numerical solutions of the periodic time-dependent Ginzburg－Landau model for the type-II superconductors by a finite-difference approximation. Both the static and dynamical properties of a single vortex are studied as the external magnetic field varies. Vortex and anti-vortex can coexist and annihilate with time in the case of no external magnetic field, while the vortex will approach a steady state in the presence of magnetic field. We also study vortex dynamical behaviours while pinning centres exist in the sample and find that the pinning site, which has a significant potential to keep the vortex from moving, may trap the vortex.
Received: 07 September 2003
Revised: 18 November 2003
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60371033) and partly by Shanghai Leading Academic Discipline Program, China.
Cite this article:
Liao Hong-Yin (廖红印), Zhou Shi-Ping (周世平), Shi Xiao-Yun (施晓蕴) Simulating the time-dependent Ginzburg－Landau equations for type-II superconductors by finite-difference method 2004 Chinese Physics 13 737
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