We present a general theory for the equilibrium current distribution in an
interacting two-dimensional electron gas subjected to a perpendicular magnetic
field, and confined by a potential that varies slowly on the scale of the
magnetic length. The distribution is found to consist of strips or channels of
current, which alternate in direction, and which have universal integrated
strength.Comment: 13 pages, Revtex, to appear in the proceedings of the "Workshop on
Novel Physics in Low-Dimensional Electron Systems" held in Madra