Skip to main content
Article thumbnail
Location of Repository

Motion and homogenization of vortices in anisotropic Type II superconductors

By Giles Richardson and S. J. Chapman

Abstract

The motion of vortices in an anisotropic superconductor is considered. For a system of well-separated vortices, each vortex is found to obey a law of motion analogous to the local induction approximation, in which velocity of the vortex depends upon the local curvature and orientation. A system of closely packed vortices is then considered, and a mean field model is formulated in which the individual vortex lines are replaced by a vortex density

Topics: Partial differential equations, Optics, electromagnetic theory
Year: 1998
DOI identifier: 10.1137/S0036139995282682
OAI identifier: oai:generic.eprints.org:602/core69

Suggested articles

Citations

  1. (1995). A mean- model of superconducting vortices in three dimensions,
  2. (1967). An Introduction to Fluid Dynamics,
  3. (1992). Analysis and approximation of the GinzburgLandau model of superconductivity,
  4. (1994). Convergence of a semi-discrete scheme for the curve shortening flow,
  5. (1992). From isotropic to anisotropic supercondutors: A scaling approach.
  6. (1968). Generalisation of the Ginzburg-Landau equations for non-stationary problems in the case of alloys with paramagnetic impurities,
  7. (1980). Lower critical of an anisotropic type-II superconductor, doi
  8. (1992). Macroscopic models for superconductivity,
  9. (1989). Motion of Abrikosov vortices in anisotropic superconductors,
  10. (1995). Motion of vortices in type-II superconductors,
  11. (1995). On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors,
  12. (1950). On the theory of superconductivity.
  13. (1975). Perturbation Methods in Fluid Dynamics, doi
  14. (1994). Shooting method for vortex solutions of a complexvalued Ginzburg-Landau equation,
  15. (1971). Theory of layer structure superconductors,
  16. (1971). Viscous vortex flow in superconductors with paramagnetic impurities,
  17. (1992). Vortex Dynamics, doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.