Virial coefficients and the equation of state of the hard tetrahedron fluid

† In memory of Prof. Tomáš Boublík.

Abstract

Virial coefficients of the fluid of hard regular tetrahedra are calculated up to the ninth, using computer-algebra-generated Ree–Hoover diagrams and Monte Carlo numerical integration. The virial expansion is compared to the results of isobaric Monte Carlo simulations. Convergence of the virial series is studied and higher virial coefficients are estimated from a combination of the known virial coefficients and simulation data. Convergence of the virial series is compared to that of the fluid of hard spheres.

Keywords:

• virial expansion
• radius of convergence
• virial coefficient
• hard tetrahedron
• Monte Carlo

Notes

† In memory of Prof. Tomáš Boublík.

Additional information

Funding

This work was supported by the Czech Science Foundation [grant number P208/10/1724].