Condensed Matter Physics, 2009, vol. 12, No. 2, pp. 127-135
DOI:10.5488/CMP.12.2.127

Title: Analytic methods for the Percus-Yevick hard sphere correlation functions
Author(s):
  D. Henderson (Department of Chemistry and Biochemistry, Brigham Young University, Provo UT 84602)

The Percus-Yevick theory for hard spheres provides simple accurate expressions for the correlation functions that have proven exceptionally useful. A summary of the author's lecture notes concerning three methods of obtaining these functions are presented. These notes are original only in part. However, they contain some helpful steps and simplifications. The purpose of this paper is to make these notes more widely available.

Key words: Percus-Yevick, hard spheres, correlation functions, integral transforms, analytic results
PACS: 02.30.Qy, 02.30.Rz, 05.20.Jj, 05.70.Ce, 64.30.+t
Comments: Figs. 0, Refs. 12, Tabs. 0


Full text [pdf , ps] << List of papers