Axisymmetric Nonlinear Waves And Structures in Hall Plasmas

Details Axisymmetric Nonlinear Waves And Structures in Hall Plasmas Axisymmetric Nonlinear Waves And Structures in Hall Plasmas

2011-11-29

arxiv.org/abs/1111.7012v2

Physics

Plasma Physics

prepared for submission to the Physics of Plasmas, after referees' comments

Scientific paper

In this paper, a general equation for the evolution of an axisymmetric magnetic field in a Hall plasma is derived, with an integral similar to the Grad-Shafranov equation. Special solutions arising from curvature -- whistler drift modes that propagate along the electron drift as a Burger's shock, and nonlinear periodic and soliton-like solutions to the generalized Grad-Shafranov integral -- are analyzed. We derive analytical and numerical solutions in a classical electron-ion Hall plasma, in which electrons and ions are the only species in the plasmas. Results may then be applied to the following low-ionized astrophysical plasmas: in protostellar disks, in which the ions may be coupled to the motion of gases; and in molecular clouds and protostellar jets, in which the much heavier charged dust in a dusty Hall plasma may be collisionally coupled to the gas.

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