Rigid-Rotor Equilibria of Nonneutral Plasmas

Abstract

A cold, constant-density, cylindrical, nonneutral plasma column confined by a uniform axial magnetic field has equilibria characterized by rigid-rotation frequencies given by $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\theta}}=\frac{1}{2}{\ensuremath{\omega}}_{c}[1\ifmmode\pm\else\textpm\fi{}{(1\ensuremath{-}\frac{2{{\ensuremath{\omega}}_{p}}^{2}}{{{\ensuremath{\omega}}_{c}}^{2}})}^{\frac{1}{2}}]$. Measurements of these fast (+) and slow (-) equilibria are compared with a cold-fluid-theory model of nonneutral plasmas.