First Order Vortex Dynamics

Details First Order Vortex Dynamics First Order Vortex Dynamics

1997-01-08

arxiv.org/abs/hep-th/9701027v1

Annals Phys. 256 (1997) 114-131

Physics

High Energy Physics

High Energy Physics - Theory

22pages, no figures, tex file

Scientific paper

10.1006/aphy.1997.5672

A non-dissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the Ginzburg--Landau model for time-dependent 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.

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