Effect of winding edge currents
  We discuss persistent currents for particles with internal degrees of freedom. The currents arise because of winding properties essential for the chaotic motion of the particles in a confined geometry. The currents do not change the particle concentrations or thermodynamics, similar to the skipping orbits in a magnetic field. 
Stephane Ouvry, Leonid Pastur and Andrey Yanovsky
cond-mat.stat-mech cond-mat.other