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Published September 1, 1996 | public
Journal Article Open

The nonlinear diocotron mode in a pure electron plasma

Abstract

The nonlinear diocotron mode, discussed by Fine, Driscoll, and Malmberg [Phys. Rev. Lett. 63, 2232 (1989)] is characterized by two equations, one describing the frequency of orbiting, the other giving the quadrupole moment, as functions of size and offset. A new analysis, based on the method of moments, which yields equations more general in their content, is presented here. For example, the new equations describe columns whose shapes are not elliptical and whose densities are not constant.

Additional Information

©1996 American Institute of Physics. Received 12 March 1996; accepted 28 May 1996. Valuable conversations with my colleague Roy Gould have added much to this work. And I am grateful to Kevin Fine for his permission to use illustrations from his article, Ref. 3.

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