The third dielectric and pressure virial coefficients of dipolar hard sphere fluids

Abstract

We present numerical computations of the third dielectric virial coefficient C*_ε and the third pressure virial coefficient C* _p of a fluid of hard sphere dipoles, over the range 0 < μ*² < 4. The requisite 9-dimensional quadratures are performed using an adaptive Monte Carlo algorithm. We also compute terms in the high temperature expansions of the virial coefficients up to order μ*²⁰ (C*_ε) and μ*²⁴ (C* _p ). Our work complements and extends earlier investigations by Joslin and by Rushbrooke and Shrubsall. Our results agree well with available experimental data, especially considering the relative crudeness of the molecular model. We also compute the critical point of the fluid.