non-neutral plasma, coherent structures, arbitrary density profiles, cylindrical trap
The computation of l= 1 coherent structures in non-neutral plasmas with arbitrary density profiles and for large displacements of the plasma from the symmetry axis of a confining cylindrical trap is described. As the structures are displaced from the axis, they revolve about the symmetry axis with a frequency that typically increases with displacement. The plasma also is distorted into an approximately elliptical shape. The frequency shifts and the eccentricities as a function of displacement, plasma size, and the shape of the density profile are both computed numerically and calculated analytically. The results are shown to be consistent with data of Fine, Driscoll, and Malmberg [Phys. Rev. Lett. 63, 2232 (1989)] which are measured for relatively large, constant-density (waterbag) plasmas (R/a = 0.38-0.71) and modest off-axis displacements (D/a<0.3). Here R is the radius of the plasma at half of peak density when centered, D is the off-axis displacement, and a is the radius of the cylinder.
Original Publication Citation
Spencer, Ross L. and Grant W. Mason."Large amplitude [script l]=1 coherent structures in non-neutral plasmas confined in a cylindrical trap." Physics of Fluids B: Plasma Physics 5 (1993): 1738-1745.
BYU ScholarsArchive Citation
Spencer, Ross L. and Mason, Grant W., "Large amplitude l=1 coherent structures in non-neutral plasmas confined in a cylindrical trap" (1993). All Faculty Publications. 707.
Physical and Mathematical Sciences
Physics and Astronomy
© 1993 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in The Journal of Chemical Physics and may be found at http://dx.doi.org/10.1063/1.860807
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