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Analytic solution of the Percus-Yevick equation for sticky hard sphere potential

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  • Jelínek, J.
  • Nezbeda, I.

Abstract

It is shown that within the Percus-Yevick approximation the radial distribution function for sticky (i.e. with a surface adhesion) hard spheres satisfies a linear differential equation with retarded right-hand side. Using the theory of distributions and the Green's function technique the analytic solution of this equation is found and explicit formulas are given enabling one to evaluate the radial distribution function both for sticky and non-attractive hard spheres for any distance and any density.

Suggested Citation

  • Jelínek, J. & Nezbeda, I., 1976. "Analytic solution of the Percus-Yevick equation for sticky hard sphere potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(1), pages 175-187.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:1:p:175-187
    DOI: 10.1016/0378-4371(76)90071-6
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    1. Henderson, Philip A., 1970. "Some Economic Comparisons of Different Irrigation Systems," Staff Papers 237401, University of Nebraska-Lincoln, Department of Agricultural Economics.
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