a three-parameter cubic equation of state has been proposed for predicting pvt of pure refrigerantssuch as r236ea, r236fa, r245fa, r245ca, r218, r227ea, and r717, from freezing point up to critical pointtemperature and pressures up 650 atm. we explore the theory of the equation of state from the view pointof ihm–song–mason (ism) equation of state, which has been derived on the basis of statisti...

In this paper we present an investigation into the calculation of the Frank elastic constants of hard platelets via molecular simulation and virial expansion beyond second order. Monte Carlo simulations were carried out and director fluctuations measured as a function of wave vector k, giving the elastic constants through a fit in the low-k limit. Additionally, the virial expansion coefficients...

We derive path-integral expressions for the second and third virial coefficients of monatomic quantum gases. Unlike previous work that considered only Boltzmann statistics, we include exchange effects (Bose-Einstein or Fermi-Dirac statistics). We use state-of-the-art pair and three-body potentials to calculate the third virial coefficient of (3)He and (4)He in the temperature range 2.6-24.5561 ...

We derive a cluster expansion for the electric susceptibility kernel of a dielectric suspension of spherically symmetric inclusions in a uniform background. This also leads to a cluster expansion for the effective dielectric constant. It is shown that the cluster integrals of any order are absolutely convergent, so that the dielectric constant is well defined and independent of the shape of the...

For helium-4, we present ab initio, semiclassical calculations of virial coefficients B n for n = 2, 3, 4, and 5 from 50 K to 1000 K. Using our values of B 4 and B 5 and the more accurate literature values of B 2 and B 3 , we argue that the ab initio virial equation of state is more accurate than recent, high-quality, densimeter measurements spanning the range {223 K < T < 500 K, p < 38 MPa}. T...

Second dielectric virial coefficients BZ(T) of the rare gases Ne, Ar, Kr, and Xe are calculated in a broad range of temperature using accurate HFD-type interatomic interaction potentials and available information on the trace of the pair polarizability Aa. It is shown that the experimentally determined temperature-variation of BC(T) cannot be reproduced by existing theories. However, it is obse...