Connectivity and percolation of randomly centered spheres: Correction to the Percusndash;Yevick approximation

摘要

The connectivity and percolation behavior of a system of onehyphen;component randomly centered spheres is studied based on a new approximation scheme which goes beyond the Percusndash;Yevick closure. This new closure corrects the Percusndash;Yevick directhyphen;connectedness function. The percolation density determined from this approximation agrees with the simulation result to within 4percnt; (compared with a 43percnt; deviation in the Percusndash;Yevick approximation). Good agreement for the pairhyphen;connectedness function is also obtained.