  We study the conductance of chaotic or disordered wires in a situation where
equilibrium transport decomposes into biased diffusion and a counter-moving
regular current. A possible realization is a semiconductor nanostructure with
transversal magnetic field and suitably patterned surfaces. We find a
non-trivial dependence of the conductance on the wire length which differs
qualitatively from Ohm's law by the existence of a characteristic length scale
and a finite saturation value.
