Simultaneous Beltrami Conditions in Coupled Vortex Dynamics
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چکیده
The two-fluid model of a plasma describes the strong coupling between the magnetic and the fluid aspects of the plasma. The Beltrami condition which demands alignment of vortices and flows becomes a system of simultaneous equations in the magnetic field and the flow velocity. Combining these equations yields the double curl Beltrami equation. General solvability of the equation has been proved using the spectral theory of the curl operator. The set of solutions contains field configurations which can be qualitatively different from the conventional constant-α-Beltrami fields (which are naturally included in the set). The larger new set may help us understand a variety of structures generated in plasmas. 52.30.Bt,95.30.Qd,02.30.Sa,47.65.+a Typeset using REVTEX 1
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تاریخ انتشار 1999