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We present computer studies of the critical properties of an Ising lattice gas driven to a non-equilibrium steady state by coupling to two temperature baths. Anisotropic scaling, a dominant feature near criticality, is used as a tool to extract the values of the critical temperature and some exponents for the specific case where one of the baths has infinite 2 ' . Our results are consistent with those from an E-expansion, carried out recently to 0(e2).The statistical mechanics of interacting systems in non-equilibrium steady states is, on the one hand, not well understood, and, on the other, of vital importance to a wide range of disciplines in both science and engineering. A venerable way to approach difficult problems is to study as simple a model as possible, without losing the essential physics of the original system. In this manner, lattice gas models[ll have served well in the understanding of second-order phase transitions in systems in equilibrium statistical mechanics. In this spirit, Katz et al. [2] introduced the <) as one of the simplest models for studying critical phenomena in non-equilibrium steady states. During the past decade, we have gained considerable insight and discovered many new frontiers [31. In particular, it is clear that, though there is a unique universality class for the equilibrium Ising model, there are several classes for the same model in non-equilibrium steady states. Specifically, while the original driven diffusive system [Z] displays non-Ising critical behavior [4], models with non-conserved dynamics fall into the same class as its equilibrium counterpart [5,6]. A third universality class is predicted [7,8] for the diffusive system with annealed random drive. It is believed that this fixed point also controls the critical behavior of the <

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