The theoretical basis for a theorem of corresponding states for mixtures is examined in a rigorous manner by the use of statistical mechanics. With the aid of the general theory of mixtures presented… Expand

Exact expressions are derived for the molecular distribution functions in a one‐dimensional fluid whose particles interact with a nearest neighbor pair potential. The pair distribution function for… Expand

Under certain conditions, an asymptotic expression for the equation of state of a classical mechanical system of N ν‐dimensional (ν=1, 2, or 3) hard spheres confined in a volume V is obtained in the… Expand

The Monte Carlo numerical method for obtaining statistical mechanical averages in the petite canonical ensemble has been applied to the two‐dimensional triangular lattice‐gas model. The Monte Carlo… Expand

Our previously developed product representation for the partition function of rigid molecules under high compression is generalized to include distorted reference lattices. The resulting strain… Expand

Detailed calculations for the free volume theory of binary mixtures are presented and compared with experimental results. It is found that this theory predicts heats of mixing and volumes of mixing… Expand