Dr. Lorena Barba
Vortex multipoles and vortex quasimodes: the parallels and differences between coherent structures of fluids and plasmas

A column of electrons surrounded by a conducting wall and confined by a strong magnetic field is an excellent manifestation of two-dimensional vortices in an inviscid fluid.  The equations governing the drift motion of a magnetized electron column are isomorphic to the Euler equations for incompressible, 2D flow.  This isomorphism implies, for example, that surface charge perturbations on the electron column (called diocotron modes) are equivalent to surface waves on vortex columns (called Kelvin waves).  In the plasma literature, a quasimode is a vorticity perturbation which is weakly damped, and behaves like it was a single azimuthally propagating wave on the vortex edge.  In fluids, a multipole is an arrangement of two or more peaks of vorticity which is compact, coherent and long-lived.  The topology of quasimodes and multipoles can appear quite similar.  But, is there any inherent physical relationship between the core quasimodes, basically explained by wave phenomena, and the hydrodynamic multipoles, which are more readily explained by the nonlinear interaction of vorticity?


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