First Order Vortex Dynamics
Abstract
A nondissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the GinzburgLandau model for timedependent fields, with kinetic terms linear in the first time derivatives of the fields. It is shown how, for certain values of the coupling constants, the field dynamics can be reduced to first order differential equations for the vortex positions. Two vortices circle around one another at constant speed and separation in this model.
 Publication:

Annals of Physics
 Pub Date:
 May 1997
 DOI:
 10.1006/aphy.1997.5672
 arXiv:
 arXiv:hepth/9701027
 Bibcode:
 1997AnPhy.256..114M
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Superconductivity
 EPrint:
 22pages, no figures, tex file