Binary collision contribution to transverse current correlation function of dense fluids

An expression for the binary collision contribution to the first order memory function of the transverse current correlation function has been obtained using the cluster expansion technique for particles of a fluid interacting via a continuous potential. The resulting expression involves the static pair correlation function and the time dependence of position, momentum, and acceleration of a particle. In the long wavelength limit our expression determines the time development of the autocorrelation function of transverse stress. These time-dependent functions have been evaluated numerically for the Lennard-Jones potential for some thermodynamic states and results have been compared with molecular dynamics data. It has also been found that for a hard sphere interaction our expression for the shear viscosity reduces to the Enskog result.