Jw. Perram et al., ELLIPSOID CONTACT POTENTIAL - THEORY AND RELATION TO OVERLAP POTENTIALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(6), 1996, pp. 6565-6572
We propose and analyze the properties of a simple, computationally eff
icient pair potential for nonpolar molecules based on the contact func
tion for ellipsoidal cores. We discuss the relation of this potential
to the Gaussian overlap potential and show that the present potential
gives the correct extension of the ideas of the Gaussian overlap poten
tial to mixtures. We show that this potential obeys a form of the prin
ciple of corresponding states and derive an expression for the second
virial coefficient. As this potential has an incorrect symmetry at lar
ge separations, we derive another contact potential that behaves isotr
opically at infinite separation. Unfortunately, this potential does no
t have the good computational features of the one investigated here.