The dynamics of interacting Brownian particles

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Abstract
The dynamics of Brownian particles in dilute dispersions interacting through a long-range repulsive potential are considered. Emphasis is on interpretation of recent light scattering photon correlation measurements on such a system. It is shown that the initial decay of the temporal correlation function F(K, tau ) of the Kth spatial Fourier component of particle number density is determined largely by free-particle Brownian motion. The initial decay rate of the normalized correlation function is given by D0K2S(K)-1 (D0 is the free-particle diffusion constant and S(K) the static structure factor). The behaviour of F(K, tau ) at larger correlation delay time tau is discussed briefly.