  We study nonequilibrium steady states of the driven lattice gas with two
particles, using the most general stochastic transition rules that satisfy the
local detailed balance condition. We observe that i) the universal $1/r^d$ long
range correlation may be found already in the two-particle models, but ii) the
magnitude (or even the existence/absence) of the long range correlation depends
crucially on the rule for transition rates. The latter is in stark contrast
with equilibrium dynamics, where all rules give essentially the same results
provided that the detailed balance condition is satisfied.
