  We investigate a cylindrical plasma system with ionization, by an annular
beam of ultraviolet light, taking place only in the cylinder's outer region. In
the steady state, both the outer and inner regions contain a plasma, with that
in the inner region being uniform and field-free. At the interface between the
two regions, there is an infinitesimal jump in ion density, the magnitude
approaching zero in the quasi-neutral $(\lambda_D \rightarrow 0)$ limit. The
system offers the possibility of producing a uniform stationary plasma in the
laboratory, hitherto obtained only with thermally produced alkali plasmas.
