Free volume power law for transport properties of hard sphere fluid

This paper presents a study on the relationship between transport properties and geometric free volume for hard sphere (HS) system in dense fluid region. Firstly, generic distribution function is proposed based recent simulation results HS by Maiti et al. [1,2] Combining new with local particle transportation model, we obtain power law properties. Then relation thermodynamic established, which makes it possible to use well-developed equations of state (EoS) expressions volume. The models are tested molecular dynamic (MD) viscosity, diffusivity thermal conductivity, respectively very satisfactory. Using able reproduce several obtained from different approaches, such as entropy scaling laws [3], mode coupling theory [4] or empirical correlations [5]. In particular, A long-standing controversy regarding well known Cohen-Turnbull-Doolittle model [6,7] resolved using combined an EoS.