The fabrication of artificial pinning structures allows a new generation of
experiments which can probe the properties of vortex arrays by forcing the
m to flow in confined geometries. We discuss the theoretical analysis of su
ch experiments in both flux liquids and flux solids, focusing on the Corbin
o disk geometry. In the liquid, these experiments can probe the critical be
havior near a continuous liquid-glass transition. In the solid, they probe
directly the onset of plasticity.