Algebraic instability of hollow electron columns and cylindrical vortices

作者: Ralph A. Smith , Marshall N. Rosenbluth

DOI: 10.1103/PHYSREVLETT.64.649

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摘要: An axisymmetric, amgnetically confined electron column, in which the E\ifmmode\times\else\texttimes\fi{}B rotation frequency is not a monotone function of radius, linearly unstable to two-dimensional, electrostatic disturbances with azimuthal mode number l=1. The perturbation density asymptotically proportional \ensuremath{\surd}t and may be described as shift core column. A particle-in-cell simulation indicates that harmonics grow rapidly there are secondary instabilities. identical instability arises hollow circular vortex columns an inviscid, incompressible neutral fluid.

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