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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013