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Collective Coordinate Models for 2-Vortex Shape Mode Dynamics
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abstract
Models are developed for the motion of charge-2 Abelian Higgs vortices through the 2-vortex moduli space $M$, with the vortices excited by their shape mode oscillations. The models simplify to the well-known geodesic flow on $M$, 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, multi-bounce structure in vortex-vortex collisions is predicted.
Forward citations
Cited by 2 Pith papers
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Resonance phenomena in vortex-antivortex collisions
Vortex–antivortex collisions in the deep type-II Abelian-Higgs model show multi-bounce windows embedded in annihilation regions, driven by a Feshbach resonant mode.
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Oscillons and bubbles in $Q$-ball dynamics
In the thin-wall regime, Q-ball-anti-Q-ball collisions are chaotic, driven by internal bound modes and ephemeral states, with false-vacuum bubbles stabilized by Goldstone modes as key intermediates.
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