Molecular Dynamics Study of Infinitely Thin Hard Rods: Scaling Behavior of Transport Properties

A molecular dynamics study on a system of infinitely thin hard rods is reported. At low densities, rotational and translational diffusion is adequately described by the Enskog theory, but at high densities (${\rho }^{*}\gg 1$) large deviations are observed. For ${\rho }^{*}\gg 1$, the rotational diffusion constant ($D_r$) and the longitudinal translational diffusion constant ($D_{\parallel }$) are compared with scaling predictions. The molecular dynamics results confirm that $D_r\sim {{\rho }^{*}}^{-2\mathrm{}}$, and are consistent with a predicted divergence of $D_{\parallel }\sim {{\rho }^{*}}^{\frac{1}{2}}$.