Comments on the repulsive term of Van der Waals equation of state

Abstract: The repulsive term of Van der Waals equation of state has been deduced and improved in this work using a probabilistic description of the configurational entropy. The aim is to find out whether its physical basis is suitable for the study of dense fluids like liquids and glasses. The extended Van der Waals model accurately describes a system composed of independent Hard Spheres below packing fraction {\eta} < 0.3, giving a pole at {\eta} ~ 0.51 in close agreement with Molecular Dynamic simulation results. The inclusion of holes in the configurational entropy description improves the model but only below {\eta} < 0.2, precluding its application to high density fluids and glasses. In addition, neither local nor global clustering of Hard Spheres can be described using this approach. A physical model other than Van der Waals equation of state is required to accurately describe the continuity of gaseous and liquid states with the same expression. In this work, a model for the configurational entropy of mixing is proposed which could reveal whether such continuity really exists.