STRUCTURE AND THERMODYNAMICS OF HARD D-DIMENSIONAL SPHERES - OVERLAP VOLUME FUNCTION-APPROACH

被引：37

作者：

GONZALEZ, DJ ^{[1
]}

GONZALEZ, LE ^{[1
]}

SILBERT, M ^{[1
]}

机构：

[1] UNIV E ANGLIA,SCH MATH & PHYS,NORWICH NR4 7TJ,NORFOLK,ENGLAND

来源：

MOLECULAR PHYSICS | 1991年 / 74卷 / 03期

关键词：

D O I：

10.1080/00268979100102461

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 very simple ansatz for the direct correlation functions of hard D-dimensional spheres is presented. For D = 1 and 3, it reduces exactly to the Percus-Yevick (PY) theory, yielding results which are very close to the PY theory for the other dimensions. A generalized Carnahan-Starling equation of state is proposed, which is in excellent agreement with the available computer simulation results. Finally, a generalized Verlet-Weis procedure for the pair distribution function g(r, eta), is proposed. The important case of hard discs (D = 2) is studied in detail, leading to excellent results for g(r, eta).

引用

页码：613 / 627

页数：15

共 18 条

[1] WHAT IS LIQUID - UNDERSTANDING STATES OF MATTER [J].

BARKER, JA ;

HENDERSON, D .

REVIEWS OF MODERN PHYSICS, 1976, 48 (04) :587-671

[2] THERMODYNAMICS AND STRUCTURE OF A FLUID OF HARD-RODS, DISKS, SPHERES, OR HYPERSPHERES FROM RESCALED VIRIAL EXPANSIONS [J].

BAUS, M ;

COLOT, JL .

PHYSICAL REVIEW A, 1987, 36 (08) :3912-3925

[3] THEORETICAL STRUCTURE FACTORS FOR HARD-CORE FLUIDS [J].

BAUS, M ;

COLOT, JL .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (28) :L643-L648

[4] EQUATION OF STATE FOR NONATTRACTING RIGID SPHERES [J].

CARNAHAN, NF ;

STARLING, KE .

JOURNAL OF CHEMICAL PHYSICS, 1969, 51 (02) :635-&

[5] RADIAL DISTRIBUTION FUNCTIONS AND EQUATIONS OF STATE OF HARD-DISK FLUID [J].

CHAE, DG ;

REE, FH ;

REE, T .

JOURNAL OF CHEMICAL PHYSICS, 1969, 50 (04) :1581-+

[6] THE FREEZING OF HARD DISKS AND HYPERSPHERES [J].

COLOT, JL ;

BAUS, M .

PHYSICS LETTERS A, 1986, 119 (03) :135-139

[7] EQUATION OF STATE OF THE CLASSICAL HARD-DISK FLUID [J].

ERPENBECK, JJ ;

LUBAN, M .

PHYSICAL REVIEW A, 1985, 32 (05) :2920-2922

[8] A REMARK ON THE PERCUS-YEVICK APPROXIMATION IN HIGHER DIMENSIONS - HARD-CORE SYSTEMS [J].

FREASIER, BC ;

ISBISTER, DJ .

MOLECULAR PHYSICS, 1981, 42 (04) :927-936

[9] THERMODYNAMICS OF A FLUID OF HARD D-DIMENSIONAL SPHERES - PERCUS-YEVICK AND CARNAHAN STARLING-LIKE RESULTS FOR D = 4 AND 5 [J].

GONZALEZ, DJ ;

GONZALEZ, LE ;

SILBERT, M .

PHYSICS AND CHEMISTRY OF LIQUIDS, 1990, 22 (1-2) :95-102

[10] ON THE PERCUS-YEVICK EQUATION FOR A RIGID DISK FLUID [J].

LEUTHEUSSER, E .

JOURNAL OF CHEMICAL PHYSICS, 1986, 84 (02) :1050-1051

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