Point vortices in two dimensional-plasma hydrodynamics

Tur, Anatoly; Yanovsky, Vladimir
November 2010
Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p112308
Academic Journal
An exact theory of point vortices in two dimensional (2D) electron-ion plasma hydrodynamics is presented. This theory is a logical generalization of the classical theory of point vortices in a 2D Euler equation. The existence of two types of point vortices is shown: ion and electron, and their structure is described in detail. Ion vortices interact over long distances, while electron vortices interact over short distances. A dynamic system is obtained, which describes the common motion of an arbitrary number of electron and ion vortices. The proposed theory can be used to construct finite dimensional dynamical models of plasma motion, as well as for the construction of finite dimensional statistical models of turbulence, transport processes and filaments.


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