Interaction of two point vortices with an external wave: Application to plasma drift waves
Résumé
The complex interactions of concentrated vortices with self-generated waves is investigated using a model of point vortices in the presence of an external wave. In spite of its simplicity, this model shows a rich dynamical behavior including oscillations of a dipole, splitting and merging of two like-circulation vortices, and chaos. The analytical and numerical results of this model have been found to predict under certain conditions, the behavior of more complex systems, such as the vortices of the Charney-Hasegawa-Mima equation (drift waves or geostrophic flows), where the presence of waves strongly affects the evolution of large coherent structures.
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