APPROXIMATE ANALYTICAL EXPRESSION FOR THE DIRECT CORRELATION-FUNCTION OF HARD DISCS WITHIN THE PERCUS-YEVICK EQUATION

被引：20
作者：
RIPOLL, MS
TEJERO, CF
机构：
[1] Universidad Complutense de Madrid, Madrid
来源：
MOLECULAR PHYSICS | 1995年 / 85卷 / 02期
关键词：
D O I：
10.1080/00268979500101211
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
A simple approximate analytical expression for the direct correlation function of a hard-sphere fluid in D dimensions within the Percus-Yevick equation is proposed. The approximation exactly reproduces the well-known results for D = 1 and D = 3, while for D = 2 it compares well to the numerical results for densities not very close to the freezing density.
引用
收藏
页码：423 / 428
页数：6
相关论文
共 50 条
[21]   Analytical representation of the density derivative of the Percus-Yevick hard-sphere radial distribution function [J].
Kelly, Braden D. ;
Smith, William R. ;
Henderson, Douglas .
MOLECULAR PHYSICS, 2016, 114 (16-17) :2446-2450
[22]   HARD-SPHERE CORRELATION-FUNCTIONS IN PERCUS-YEVICK APPROXIMATION [J].
PERRAM, JW .
MOLECULAR PHYSICS, 1975, 30 (05) :1505-1509
[23]   NUMERICAL SOLUTIONS OF PERCUS-YEVICK EQUATION FOR HARD-SPHERE POTENTIAL [J].
THROOP, GJ ;
BEARMAN, RJ .
JOURNAL OF CHEMICAL PHYSICS, 1965, 42 (07) :2408-&
[24]   ANALYTICAL SOLUTION OF THE PERCUS-YEVICK EQUATION FOR THE STICKY HARD-SPHERE MODEL IN ODD DIMENSIONS [J].
WANG, J ;
MCLAUGHLIN, IL ;
SILBERT, M .
MOLECULAR PHYSICS, 1993, 79 (02) :331-341
[25]   Equation of state of the hard-disk fluid on a sphere from Percus-Yevick equation [J].
Lishchuk, S. V. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 369 (02) :266-274
[26]   ANALYTIC SOLUTION OF PERCUS-YEVICK EQUATION FOR STICKY HARD-SPHERE POTENTIAL [J].
JELINEK, J ;
NEZBEDA, I .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1976, 84 (01) :175-187
[27]   LOCALLY INHOMOGENEOUS HARD-SPHERE FLUID - SOLUTION OF THE PERCUS-YEVICK EQUATION [J].
FULINSKI, A .
ACTA PHYSICA POLONICA A, 1979, 56 (04) :467-478
[28]   APPROXIMATE EQQUATION OF STATE .1. MODIFIED PERCUS-YEVICK EQUATION FOR ARGON [J].
GIBBONS, RM .
JOURNAL OF PHYSICAL CHEMISTRY, 1971, 75 (23) :3568-&
[29]   APPROXIMATE SOLUTION OF THE PERCUS-YEVICK EQUATION FOR A BINARY MIXTURE OF HARD-SPHERES WITH NON-ADDITIVE DIAMETERS [J].
PERRY, BN ;
SILBERT, M .
MOLECULAR PHYSICS, 1979, 37 (06) :1823-1835
[30]   Exact solution of the Percus-Yevick integral equation for fluid mixtures of hard hyperspheres [J].
Rohrmann, Rene D. ;
Santos, Andres .
PHYSICAL REVIEW E, 2011, 84 (04)
12345