Close-packed configurations, 'symmetry breaking', and the freezing transition in density functional theory

被引:25
作者
Rosenfeld, Y
机构
[1] H H Wills Physics Laboratory, Bristol University, Royal Fort, Bristol BS8 1TL, Tyndall Avenue
[2] Nuclear Research Centre, Negev, Beer-Sheva 84190
关键词
D O I
10.1088/0953-8984/8/50/004
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
It is shown that the density functional theory for the non-uniform hard-sphere fluid, which employs the geometrically based fundamental-measure free-energy functional, (1) has the mechanism to locate situations of hard-sphere closest packing, (2) features 'symmetry breaking' that separates the solid-like and liquid-like solutions for the density profile equation, and (3) contains the free-volume cell theory as a special limit case.
引用
收藏
页码:L795 / L801
页数:7
相关论文
共 40 条
[1]   STUDIES IN MOLECULAR DYNAMICS .V. HIGH-DENSITY EQUATION OF STATE AND ENTROPY FOR HARD DISKS AND SPHERES [J].
ALDER, BJ ;
HOOVER, WG ;
YOUNG, DA .
JOURNAL OF CHEMICAL PHYSICS, 1968, 49 (08) :3688-&
[2]  
BAUS M, 1990, J PHYS-CONDENS MAT, V2, P2241
[3]   AN OPTICAL MACHINE FOR MEASURING SPHERE COORDINATES IN RANDOM PACKINGS [J].
BERNAL, JD ;
CHERRY, IA ;
FINNEY, JL ;
KNIGHT, KR .
JOURNAL OF PHYSICS E-SCIENTIFIC INSTRUMENTS, 1970, 3 (05) :388-&
[4]   RANDOM CLOSE PACKING OF HARD-SPHERES AND DISKS [J].
BERRYMAN, JG .
PHYSICAL REVIEW A, 1983, 27 (02) :1053-1061
[5]   SOLID SOLID-PHASE TRANSITIONS IN A LOW-DIMENSIONALITY SYSTEM [J].
BONISSENT, A ;
PIERANSKI, P ;
PIERANSKI, P .
PHILOSOPHICAL MAGAZINE A-PHYSICS OF CONDENSED MATTER STRUCTURE DEFECTS AND MECHANICAL PROPERTIES, 1984, 50 (01) :57-64
[6]   DENSITY-FUNCTIONAL APPROACH TO THE EQUATION OF STATE OF A HARD-SPHERE CRYSTAL [J].
DENTON, AR ;
ASHCROFT, NW ;
CURTIN, WA .
PHYSICAL REVIEW E, 1995, 51 (01) :65-73
[7]  
Evans R., 1992, FUNDAMENTALS INHOMOG
[8]   A MOLECULAR THEORY FOR THE SOLID-LIQUID INTERFACE [J].
HAYMET, ADJ ;
OXTOBY, DW .
JOURNAL OF CHEMICAL PHYSICS, 1981, 74 (04) :2559-2565
[9]   CRITIQUE OF THE FREE VOLUME THEORY OF THE LIQUID STATE [J].
KIRKWOOD, JG .
JOURNAL OF CHEMICAL PHYSICS, 1950, 18 (03) :380-382
[10]  
LAIRD BB, 1996, ACS S SERIES, V629