  The Ising lattice gas, with its well known equilibrium properties, displays a
number of surprising phenomena when driven into non-equilibrium steady states.
We study such a model with anisotropic interparticle interactions ($J_{\Vert
}\neq J_{\bot}$), using both Monte Carlo simulations and high temperature
series techniques. Under saturation drive, the shift in the transition
temperature can be both positive and negative, depending on the ratio $J_{\Vert
}/J_{\bot}$! For finite drives, both first and second order transitions are
observed. Some aspects of the phase diagram can be predicted by investigating
the two point correlation function at the first non-trivial order of a high
temperature series expansion.
