SURFACES OF HARD-SPHERE SYSTEMS

被引：1
|
作者：
Stoyan, Dietrich [1 ]
机构：
[1] Tech Univ Bergakad Freiberg, Inst Stochast, D-09596 Freiberg, Germany
来源：
IMAGE ANALYSIS & STEREOLOGY | 2014年 / 33卷 / 03期
关键词：
biofilm; fracture surface; hard spheres; porous layer; surface;
D O I：
10.5566/ias.1134
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In various situations surfaces appear that are formed by systems of hard spheres. Examples are porous layers as surfaces of sand heaps and biofilms or fracture surfaces of concrete. The present paper uses a model where a statistically homogeneous system of hard spheres with random radii is intersected by a plane and the surface is formed by the spheres with centers close to this plane. Formulae are derived for various characteristics of such surfaces: for the porosity profile, i.e., the local porosity in dependence on the distance from the section plane and for the geometry of the sphere caps that are located above the section plane. It turns out that these characteristics only depend on the first-order characteristics of the sphere system, its sphere density and the sphere radius distribution. Comparison with empirically studied biofilms shows that the model is realistic.
引用
收藏
页码：225 / 229
页数：5
相关论文
共 50 条
  • [1] PRESSURE OF HARD-SPHERE SYSTEMS
    SPEEDY, RJ
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1988, 92 (07): : 2016 - 2018
  • [2] Density fluctuations in hard-sphere systems
    Fishman, RS
    Hill, EF
    Storsved, TK
    Bierwagen, GP
    [J]. JOURNAL OF APPLIED PHYSICS, 1996, 79 (02) : 729 - 735
  • [3] ON THE MECHANICAL INSTABILITY OF HARD-SPHERE SYSTEMS
    CICCARIELLO, S
    GAZZILLO, D
    [J]. MOLECULAR PHYSICS, 1985, 54 (04) : 863 - 872
  • [4] Geometrical characterization of hard-sphere systems
    Richard, P
    Oger, L
    Troadec, JP
    Gervois, A
    [J]. PHYSICAL REVIEW E, 1999, 60 (04) : 4551 - 4558
  • [5] THE STRUCTURE AND RHEOLOGY OF HARD-SPHERE SYSTEMS
    CLARKE, SM
    MELROSE, J
    RENNIE, AR
    OTTEWILL, RH
    HEYES, D
    MITCHELL, PJ
    HANLEY, HJM
    STRATY, GC
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1994, 6 : A333 - A337
  • [6] STATISTICAL GEOMETRY OF HARD-SPHERE SYSTEMS
    SPEEDY, RJ
    [J]. JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1980, 76 : 693 - 703
  • [7] Metastability and crystallization in hard-sphere systems
    Rintoul, MD
    Torquato, S
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (20) : 4198 - 4201
  • [8] Particle dynamics in hard-sphere systems
    Singh, P
    Huang, C
    [J]. MECHANICS RESEARCH COMMUNICATIONS, 2000, 27 (05) : 519 - 527
  • [9] Is there a glass transition for dense hard-sphere systems?
    Robles, M
    de Haro, ML
    Santos, A
    Yuste, SB
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1998, 108 (03): : 1290 - 1291
  • [10] Computer simulations of dense hard-sphere systems
    Rintoul, MD
    Torquato, S
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (20): : 9258 - 9265
12345