On one-dimensional fluids of anisotropic molecules near a hard wall

Abstract

A separable one-dimensional model of anisotropic hard molecules recently introduced in the literature is worked out to compute the radial density profiles and the angular distributions in the vicinity of a hard wall. Its results are tested against Monte Carlo simulations performed on a system of aligned hard ellipses confined in a segment. We find that the model provides a good description of such a system whenever the angular mobility of the particles is small enough. Accordingly, we find that the density profiles are better described for high pressures, and the angular distributions when they are close to the wall. Nevertheless, the distribution functions in the bulk have the same functional shape but for a smaller eccentricity. Such effective eccentricities follow a power law extremely well when compared with the true ones.