  Instead of the homogeneous ordered particle distributions characteristic to
equilibrium systems a self-organizing polydomain structure is found to be
stable at low temperatures in a square lattice-gas model with repulsive nearest
neighbor interaction when the particle jumps are biased by a uniform electric
field. We have performed Monte Carlo simulations to study the domain structure
varying the temperatures, fields and system sizes. Revision of the traditional
picture on this system raises interesting problems as discussed.
