Nonlocal Effects of Intermolecular Interaction in Boundary Layers of Liquids

A molecular system of hard spheres adjacent to a perfectly smooth solid surface is treated. The interaction of particles with the surface is determined by the potential of hard spheres. The single-particle distribution function, which sets local density, is found by solving the Fredholm integral equation of the second kind. The kernel and the right-hand side of the Fredholm equation are calculated analytically in the Percus–Yevick approximation. An analytical solution of the modified singlet equation is obtained with nonlocal interactions taken into account.