Linear kinetic theory of a suspension of interacting Brownian particles

We analyze the density-density equilibrium time-correlation function of interacting Brownian particles by a method which we have described earlier. The generalized diffusion coefficient related to this function is expressed in terms of an evolution operator in which single particle diffusion and interparticle collisions are renormalized by the equilibrium correlations. This result is then used to show some general relations for the dynamical properties of suspensions and to propose an approximation scheme similar to that leading to the Enskog equation in the kinetic theory of fluids.