Thermodynamic properties of polydisperse hard spheres

被引：23

作者：

Bartlett, P ^{[1
]}

机构：

[1] Univ Bath, Dept Chem, Bath BA2 7AY, Avon, England

来源：

MOLECULAR PHYSICS | 1999年 / 97卷 / 05期

关键词：

D O I：

10.1080/002689799163523

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：

The virial expansion of a polydisperse system of hard spheres has been studied. The virial coefficients are shown to be a function of the total number density and the first three moments of the diameter distribution. The small number of moment variables identified is used to construct a simple but physically reasonable model of a polydisperse hard sphere crystal. Analytical expressions for the pressure and the moment chemical potentials are obtained.

引用

收藏

页码：685 / 693

页数：9

相关论文

共 28 条

[1] DENSITY-FUNCTIONAL THEORY OF FREEZING OF HARD-SPHERE MIXTURES INTO SUBSTITUTIONAL SOLID-SOLUTIONS [J].

BARRAT, JL ;

BAUS, M ;

HANSEN, JP .

PHYSICAL REVIEW LETTERS, 1986, 56 (10) :1063-1065

[2] A geometrically-based mean-field theory of polydisperse hard-sphere mixtures [J].

Bartlett, P .

JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (01) :188-196

[3] Reentrant melting in polydispersed hard spheres [J].

Bartlett, P ;

Warren, PB .

PHYSICAL REVIEW LETTERS, 1999, 82 (09) :1979-1982

[4] Fractionated crystallization in a polydisperse mixture of hard spheres [J].

Bartlett, P .

JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (24) :10970-10975

[5]

Blaak R, 1998, MOL PHYS, V95, P695, DOI 10.1080/00268979809483203

[6] Monte carlo study of freezing of polydisperse hard spheres [J].

Bolhuis, PG ;

Kofke, DA .

PHYSICAL REVIEW E, 1996, 54 (01) :634-643

[7] P-V-T BEHAVIOR OF HARD BODY-FLUIDS - THEORY AND EXPERIMENT [J].

BOUBLIK, T ;

NEZBEDA, I .

COLLECTION OF CZECHOSLOVAK CHEMICAL COMMUNICATIONS, 1986, 51 (11) :2301-2432

[8] HARD-SPHERE EQUATION OF STATE [J].

BOUBLIK, T .

JOURNAL OF CHEMICAL PHYSICS, 1970, 53 (01) :471-&

[9] PHASE-EQUILIBRIA IN POLYDISPERSE FLUIDS [J].

GUALTIERI, JA ;

KINCAID, JM ;

MORRISON, G .

JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (01) :521-536

[10]

Hansen J P., 2013, Theory of Simple Liquids: With Applications to Soft Matter