Eur. Phys. J. B (2013) 86: 95
https://doi.org/10.1140/epjb/e2013-30800-6

Regular Article

Dynamics of vortices and drift waves: a point vortex model

¹ Aix-Marseille Université, CPT-CNRS UMR 6207, Campus de Luminy, Case 907, 13288 Marseille Cedex 9, France
² Aix-Marseille Université, IM2NP-CNRS UMR 6242, Campus de St Jérôme, Case 142, 13397 Marseille, France

^a e-mail: leoncini@cpt.univ-mrs.fr

Received: 3 September 2012
Received in final form: 28 November 2012
Published online: 13 March 2013

Abstract

The complex interactions of localized vortices with waves are investigated using a model of point vortices in the presence of a transverse or longitudinal wave. This simple 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, where the presence of waves strongly affects the evolution of large coherent structures.