Rigid-Rotor Equilibria of Nonneutral Plasmas

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