Rc. Sing et al., THERMODYNAMICALLY SELF-CONSISTENT INTEGRAL-EQUATION THEORY FOR PAIR-CORRELATION FUNCTIONS OF A MOLECULAR FLUID, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 977-980
We propose a ''mixed'' integral equation for the pair correlation func
tion of molecular fluids which interpolates between the hypernetted-ch
ain and Percus-Yevick approximations. Thermodynamic consistency betwee
n the virial and compressibility equation of state is achieved by vary
ing a single parameter in a suitably chosen mixing function. The integ
ral equation proposed here generalizes the suggestion by Rogers and Yo
ung [Phys. Rev. A 30, 999 (1984)] to an angle-dependent pair potential
. When compared to available computer simulation data, the equation is
found to yield excellent results for both the thermodynamic propertie
s and the pair-correlation functions.