1997/01/08 by N. S. Manton · 2 citations
Engineering · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Fluid Dynamics and Turbulent Flows #Quantum chaos and dynamical systems #cond-mat.supr-con #hep-th
paper · pdf · doi:10.1006/aphy.1997.5672
published as Annals Phys. 256 (1997) 114-131 · 22pages, no figures, tex file
arxiv created 1997/01/08 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.