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 T. Our results are consistent with those from an ε-expansion, carried out recently to O(ε2).
Larsen, H., Præstgaard, E., & Zia, R. K. P. (1994). Finite-Size Scaling in a Two-Temperature Lattice Gas: a Monte Carlo Study of Critical Properties. EPL, 25(6), 447-552. https://doi.org/10.1209/0295-5075/25/6/009