Transport Properties from the Equation of State by Means of Enskog Theory for d-Dimensional Hard Spheres

Abstract

In this work we have used Enskog theory to evaluate transport properties in d-dimensional hard spheres. In order to carry out this study we have made use of the relation between the compressibility factor Z and the ratio X_E/X ₀, where X_E is the Enskog value for a transport property and X ₀ is that corresponding to a dilute gas. From the available numerical data for Z in simulation experiences, we have calculated the aforementioned ratio for the diffusion coefficient D, the shear viscosity coefficient η, the bulk viscosity coefficient η and the thermal conductivity coefficient λ. This calculation has been extended to hard disks (d = 2), hard spheres (d = 3) and hard hyperspheres (d = 4,5) in the maximum allowable range of densities. We have also tested the suitability of some algebraic equations of state proposed for such bodies by comparing their respective values for X_E/X ₀. Finally, we have obtained numerical values for the ratio D/D_E in the cases d = 4,5. The behavior is similar to that of hard spheres.