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
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
[21]   RANDOM-SYSTEMS OF PARTICLES - AN APPROACH TO POLYDISPERSE SYSTEMS [J].
SALACUSE, JJ .
JOURNAL OF CHEMICAL PHYSICS, 1984, 81 (05) :2468-2481
[22]  
Santalo LA., 1976, INTEGRAL GEOMETRY GE
[23]   Phase separation and crystallisation of polydisperse hard spheres [J].
Sear, RP .
EUROPHYSICS LETTERS, 1998, 44 (04) :531-535
[24]   Projected free energies for polydisperse phase equilibria [J].
Sollich, P ;
Cates, ME .
PHYSICAL REVIEW LETTERS, 1998, 80 (07) :1365-1368
[25]   Combinatorial entropy and the statistical mechanics of polydispersity [J].
Warren, PB .
PHYSICAL REVIEW LETTERS, 1998, 80 (07) :1369-1372
[26]   SOME TOPICS IN THEORY OF FLUIDS [J].
WIDOM, B .
JOURNAL OF CHEMICAL PHYSICS, 1963, 39 (11) :2808-&
[27]   STUDIES IN MOLECULAR-DYNAMICS .17. PHASE-DIAGRAMS FOR STEP POTENTIALS IN 2 AND 3 DIMENSIONS [J].
YOUNG, DA ;
ALDER, BJ .
JOURNAL OF CHEMICAL PHYSICS, 1979, 70 (01) :473-481
[28]   Optimal packing of polydisperse hard-sphere fluids [J].
Zhang, JF ;
Blaak, R ;
Trizac, E ;
Cuesta, JA ;
Frenkel, D .
JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (11) :5318-5324