Analytical behavior of the fourth and fifth virial coefficients of a hard-sphere mixture.
This paper focus on the study of the composition-dependent fourth and fifth virial coefficient of a hard-sphere binary mixture, namely, B(4)(s) and B(5)(s). On one side, the analytical expression of B(4)(s) is revised. In particular, I analyzed the composition-independent term B(4)[1](s) included in B(4)(s) and found a simplified form of its exact expression, which has the advantage over that previously published of highlighting the geometric properties of this term. On the other side, using a geometrical approach, I found a set of nonanalytic points of B(4)(s) and B(5)(s) as functions of s by analyzing each of their composition-independent terms.
Consejo Nacional de Investigaciones Científicas y Técnicas and Departamento de Física de la Materia Condensada, Comisión Nacional de Energía Atómica, Avenida General Paz 1499, RA-1650 San Martín, Buenos Aires, Argentina.
Ignacio
I
Urrutia