Vega equation of state for hard ellipsoids

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The Vega equation of state for an isotropic fluid of hard (biaxial) ellipsoids is given by (Ref. 1 Eq. 20):

where is the compressibility factor and is the volume fraction, given by where is the number density. The virial coefficients are given by the fits


and

where

,


and

where is the volume, , the surface area, and the mean radius of curvature.

For see B_2 for any hard convex body.

References

  1. Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics 92 pp. 651-665 (1997)
  2. Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)