Density expansion of the radial distribution and bridge functions of the hard sphere fluid

Abstract

The bridge function and the background correlation function (and consequently the radial distribution function) of the pure hard sphere fluid are expanded up to the sixth power in density. The calculations are based on the Ree–Hoover representation of the diagrams and Monte Carlo integration. The coefficients as functions of the particle–particle separation are fitted to splines taking into account discontinuities in higher derivatives up to the term of the order of (r- const)⁵.

Acknowledgements

This work was supported by the The Ministry of Education, Youth and Sports of the Czech Republic under the project LC512 (Center for Biomolecules and Complex Molecular Systems).