Perfectly translating lattices on a cylinder - art. no. 085306

We investigate the motion of a classical Wigner lattice in a two-dimensiona l confined electron gas in the presence of a perpendicular magnetic field, a (weak) driving electric field, and weak damping. In order to study the sy stem at its lowest-energy states, initial configurations are produced by a special quenching procedure. We observe the formation of a steady state in which the entire electron-lattice cycles with a common uniform velocity. Ce rtain runs show an intermediate instability leading to lattice rearrangemen ts. A Hall resistance can be defined for this system and we find that it de pends linearly, on the magnetic field with an anomalous coefficient reflect ing the many-body contributions peculiar to two dimensions.