Integral equation of the dynamic pair-correlation function for nonequilibrium simple fluids

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Abstract
An integral equation for the dynamic pair-correlation function is derived from the nonequilibrium Kirkwood hierarchy of integral equations for simple fluids subject to shear. The shear effect appears as an additional contribution to the intermolecular potential. The integral equation reduces to the Percus-Yevick equation for the equilibrium pair-correlation function as the shear rate vanishes. To show the utility of the theory an approximate dynamic pair-correlation function is calculated by treating the shear part of the nonequilibrium potential as a perturbation. The basic features of the shear-induced distortions of the pair-correlation function and structure factor are reproduced by the approximate dynamic pair-correlation functions thus calculated.