We have studied lattice gases with a particle-conserving dynamic rule
that involves two principal parameters. One of them has two limiting v
alues that correspond, respectively, to a large, saturating constant h
eld, which induces a positive particle current, and to a random hid (z
ero net current). Varying the other parameter, either particle attract
ions or repulsions perpendicular to the held are simulated. The nature
of ordering is shown to be independent of the value for the field par
ameter. In particular, the two indicated limiting cases of the Latter
lead to the same order-parameter critical behavior, consistent with be
ta similar or equal to 1/3, in the presence of a linear interface for
attractions in two dimensions. Some qualitative features of the time r
elaxation are briefly described.