Interpolation Formula for Radial Distribution Functions

摘要

A Padeacute; approximant is used as an interpolation formula to obtain the density dependence of radial distribution functions. The equation is of the formgexplpar;uthinsp;sol;thinsp;kTrpar;thinsp;equals;thinsp;lpar;1thinsp;plus;thinsp;a1rgr;thinsp;plus;thinsp;a2rgr;2rpar;thinsp;sol;thinsp;lpar;1thinsp;plus;thinsp;b1rgr;thinsp;plus;thinsp;b2rgr;2rpar;,wheregis the radial distribution function,uis the pair potential energy,kis Boltzmann's constant,Tis the absolute temperature, andrgr;is the number density. Padeacute; constants are determined for the Gaussian and hardhyphen;sphere models of a fluid.