Augmented scaled particle theory for a hard disk fluid

Abstract

The success of scaled particle theory (SPT) can be certainly ascribed to the appealing physical idea embedded in it, i.e., accounting for the work needed to insert a particle into a liquid by a bulk contribution and a surface contribution. So, it can describe bulk and surface thermodynamic properties in the same framework. The surface tension term in SPT involves one flat-surface contribution and two additional contributions due to surface curvatures. High-order curvature terms (also called non-Hadwiger terms) were evidenced. Recently, we have developed an augmented scaled particle theory (ASPT) by adding one high-order curvature term for a hard sphere fluid. Here, we extend ASPT to a two-dimensional hard disk fluid. As for the 3D case, our 2D ASPT allows for improving both bulk and surface thermodynamic properties of a hard disk fluid with respect to the original SPT.