Virial coefficients and closehyphen;packing of hard spheres and disks

摘要

Using recently calculated 8th virial coefficients for hard spheres and disks, singularities in the virial expansion are reinvestigated. Using a Padeacute; analysis, it is concluded that the singularities are associated with crystalline closehyphen;packing and not random closehyphen;packing nor with the fluidrarr;solid phase transition. Accurate equations of state are developed for hard sphere and disk fluids. Estimates of 9th and higher virial coefficients are also given. thinsp;