Carnahan-Starling type equations of state for stable hard disk and hard sphere fluids

The well-known Carnahan-Starling (CS) equation of state (EoS) [1] for the hard sphere (HS) fluid was derived from a quadratic relation between integer portions virial coefficients, Bn, and their orders, n. Here we extend method to full coefficients Bn general D-dimensional case. We assume polynomial function (D-1)th order starting n=4 EoS are it. For rob (D=1) case, exact solution is obtained. stable disk (D=2), most recent up 10th [2] accurate compressibility data[3,4] employed construct test EoS. (D=3) fluid, new CS-type constructed tested with [5,2] 11th highly-accurate simulation data [6-8]. simple turn out be as highest-level Pade approximations based on all available significantly improve in also shown that long obey any it will diverge at non-physical packing fraction=1.