Collective coordinate models for 2-vortex shape mode dynamics
A. Alonso Izquierdo (Departamento de Matematica Aplicada, Universidad de Salamanca, Salamanca, Spain); N. S. Manton (Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United Kingdom); J. Mateos Guilarte (Departamento de Fisica Fundamental, Universidad de Salamanca, Salamanca, Spain); A. Wereszczynski (Institute of Theoretical Physics, Jagiellonian University, Krakow, Poland, Departamento de Matematica Aplicada, Universidad de Salamanca, Salamanca, Spain, International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM2), Hiroshima University, Hiroshima, Japan)
Models are developed for the motion of charge-2 Abelian Higgs vortices through the 2-vortex moduli space , with the vortices excited by their shape mode oscillations. The models simplify to the well-known geodesic flow on , modified by a potential, when the mode oscillations are fast relative to the moduli space motion and their amplitudes are small. When the lowest-frequency mode is excited with a large amplitude, the geodesic flow is not a correct description. Instead, a chaotic, or even fractal, multibounce structure in vortex-vortex collisions is predicted.
