Ms. Rudzinsky et Rkp. Zia, DISTRIBUTION OF STRUCTURE FACTORS AND PHASE-TRANSITIONS IN A DRIVEN LATTICE-GAS, Journal of physics. A, mathematical and general, 29(21), 1996, pp. 6717-6728
Using Monte Carlo methods, we study the full distribution of structure
factors in the standard driven lattice gas at half filling. The time
evolution of the structure factors associated with the two lowest non-
trivial wavevectors is used to construct histograms. For saturation dr
ive, at temperatures well above T-c, both are exponentially distribute
d but with different widths. These results are well described by a con
tinuum field theory with a dynamics which violates the usual fluctuati
on dissipation theorem. As T is lowered, one of these distributions re
mains essentially unaltered. By contrast, the other develops a maximum
away from the origin, while staying single-peaked throughout. This be
haviour is an unmistakable signal for a continuous transition.