Polarization density profiles for dipoles against an electrified wall in the MS and RLHNC approximations

The polarization density profiles P(z, E) for dipoles in the vicinity of a wall, from which an electric field emerges, have been calculated using the mean spherical (MS) and renormalized linearized hypernetted chain (RLHNC) approximations. The profiles for the two approximations are significantly different. The presence of a component of the polarization density that is perpendicular to the field E, when the field is neither perpendicular nor parallel to the wall, is noted. The anisotropic response of the fluid to the electric field in the vicinity of the wall is discussed in terms of a local dielectric tensor when the relationship between the polarization density and the electric field is linear.