ON THE ORNSTEIN-ZERNIKE RELATION, THE BBGKY HIERARCHY AND CLOSURES

被引:3
作者
HU, ZM [1 ]
GAN, HH [1 ]
EU, BC [1 ]
机构
[1] MCGILL UNIV,DEPT PHYS,MONTREAL H3A 2K6,QUEBEC,CANADA
来源
PHYSICA A | 1992年 / 184卷 / 1-2期
关键词
D O I
10.1016/0378-4371(92)90158-M
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We examine the Ornstein-Zernike relation for correlation functions and the Kirkwood hierarchy of integral equations for reduced distribution functions with a view toward obtaining closures. A generalized closure relation is thereby obtained which reduces to the conventional closures that give rise to the Percus-Yevick integral equation, the hypernetted chain integral equation, and the mean spherical approximation integral equation for the pair correlation function for a simple fluid, when different approximations are made to the closure obtained. An integral equation for the pair correlation function is proposed on the basis of the closure mentioned. In the sense that the aforementioned closure is inclusive of the Percus-Yevick, hypernetted chain, and mean spherical approximation integral equation, the new integral equation generalizes the conventional integral equations just mentioned.
引用
收藏
页码:71 / 78
页数:8
相关论文
共 50 条
[21]   ORNSTEIN-ZERNIKE DERIVATIVE RELATIONS AND THERMODYNAMIC FUNCTIONS [J].
GAN, HH ;
EU, BC .
JOURNAL OF CHEMICAL PHYSICS, 1992, 96 (01) :558-564
[22]   GENERALIZED ORNSTEIN-ZERNIKE APPROACH TO CRITICAL PHENOMENA [J].
GREEN, MS .
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (06) :875-+
[23]   Solution of the Ornstein-Zernike equation in the critical region [J].
Brader, J. M. .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2006, 27 (02) :394-412
[24]   THEORY OF FREEZING - THE INHOMOGENEOUS ORNSTEIN-ZERNIKE EQUATION [J].
MCCOY, JD ;
HAYMET, ADJ .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 1989, 10 (01) :87-100
[25]   EXTENSION OF ORNSTEIN-ZERNIKE THOERY OF CRITICAL REGION [J].
STELL, G .
PHYSICAL REVIEW LETTERS, 1968, 20 (11) :533-&
[26]   ORNSTEIN-ZERNIKE RELATION FOR A FLUID MIXTURE WITH DIRECT CORRELATION FUNCTIONS OF FINITE RANGE [J].
HIROIKE, K .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1969, 27 (06) :1415-&
[27]   SOME CRITICAL PROPERTIES OF ORNSTEIN-ZERNIKE SYSTEMS [J].
STELL, G .
PHYSICAL REVIEW, 1969, 184 (01) :135-&
[28]   Ornstein-Zernike correlations and magnetic ordering in nanostructures [J].
Alberto Velasquez, Ever ;
Mazo-Zuluaga, Johan ;
Altbir, Dora ;
Mejia-Lopez, Jose .
EUROPEAN PHYSICAL JOURNAL B, 2014, 87 (03)
[29]   SOLUTION OF YUKAWA CLOSURE OF ORNSTEIN-ZERNIKE EQUATION [J].
HOYE, JS ;
BLUM, L .
JOURNAL OF STATISTICAL PHYSICS, 1977, 16 (05) :399-413
[30]   ANALYTICAL SOLUTION OF THE ORNSTEIN-ZERNIKE EQUATION FOR MIXTURES [J].
TANG, YP ;
LU, BCY .
MOLECULAR PHYSICS, 1995, 84 (01) :89-103