  In contrast to equilibrium systems, non-equilibrium steady states depend
explicitly on the underlying dynamics. Using Monte Carlo simulations with
Metropolis, Glauber and heat bath rates, we illustrate this expectation for an
Ising lattice gas, driven far from equilibrium by an `electric' field. While
heat bath and Glauber rates generate essentially identical data for structure
factors and two-point correlations, Metropolis rates give noticeably weaker
correlations, as if the `effective' temperature were higher in the latter case.
We also measure energy histograms and define a simple ratio which is exactly
known and closely related to the Boltzmann factor for the equilibrium case. For
the driven system, the ratio probes a thermodynamic derivative which is found
to be dependent on dynamics.
