中国物理B ›› 2004, Vol. 13 ›› Issue (5): 737-745.doi: 10.1088/1009-1963/13/5/028

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Simulating the time-dependent Ginzburg－Landau equations for type-II superconductors by finite-difference method

廖红印, 周世平, 施晓蕴   

  1. Department of Physics, Shanghai University, Shanghai 200436, China
  • 收稿日期:2003-09-07 修回日期:2003-11-18 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60371033) and partly by Shanghai Leading Academic Discipline Program, China.

Simulating the time-dependent Ginzburg－Landau equations for type-II superconductors by finite-difference method

Liao Hong-Yin (廖红印), Zhou Shi-Ping (周世平), Shi Xiao-Yun (施晓蕴)   

  1. Department of Physics, Shanghai University, Shanghai 200436, China
  • Received:2003-09-07 Revised:2003-11-18 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60371033) and partly by Shanghai Leading Academic Discipline Program, China.

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摘要： 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.

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.

Key words: periodic time-dependent Ginzburg-Landau model, finite-difference approximation, vortex dynamics

中图分类号:  (Finite-difference methods)

  • 02.70.Bf
74.20.De (Phenomenological theories (two-fluid, Ginzburg-Landau, etc.)) 74.70.-b (Superconducting materials other than cuprates) 74.25.Op (Mixed states, critical fields, and surface sheaths)