We present an extension of a simple automaton model to incorporate non
local interactions extending over a spatial range in lattice gases. Fr
om the viewpoint of statistical mechanics, the lattice gas with intera
ction range may serve as a prototype for non-ideal-gas behavior. From
the density fluctuations correlation function, we obtain a quantity wh
ich is identified as a potential of mean force. Equilibrium and transp
ort properties are computed theoretically and by numerical simulations
to establish the validity of the model at macroscropic scale.