On the possible equivalence of hard convex molecule fluids

Abstract

The problem whether the fluids made up of hard convex bodies of the same non-sphericity parameter α are equivalent regardless of the actual shape of the bodies is examined by computing the third and fourth virial coefficients. Three qualitatively different classes of the convex bodies are considered and it is shown that, in general, no equivalence exists. Three latest equations of state of these fluids are also examined in light of the obtained results.