LONG-RANGE CORRELATIONS IN NONEQUILIBRIUM LORENTZ GASES

Spatial correlation functions in Lorentz gases maintained in nonequilibrium steady states are studied. The correlation function of microscopic number densities of the moving particle and scatterer is found to have long range spatial correlations that decay as 1/r(2) in three dimensions in the presence of either a concentration gradient, a temperature gradient, or an electric field. Stronger correlations are found at higher order in the electric field. Our analysis is based on a derived kinetic equation for the two-particle correlation function. Possible extensions of our work are discussed.