RANDOM LATTICES AND RANDOM SPHERE PACKINGS: TYPICAL PROPERTIES

被引：4
|
作者：
Shlosman, Senya [1 ,2 ]
Tsfasman, Michael A. [2 ,3 ]
机构：
[1] Ctr Phys Theor Luminy, Marseille, France
[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia
[3] Independent Univ Moscow, Moscow 121002, Russia
来源：
MOSCOW MATHEMATICAL JOURNAL | 2001年 / 1卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Geometric density; random field; vertex covering number; sphere packing;
D O I：
10.17323/1609-4514-2001-1-1-73-89
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review results about the density of typical lattices in R-n. This density is of the order of 2(-n). We then obtain similar results for random (non-lattice) sphere packings in R-n: after suitably taking a fraction nu of centers of spheres in a typical random packing sigma, the resulting packing tau has density C(nu)2(-n) with a reasonable C(nu). We obtain estimates of C(nu).
引用
下载
收藏
页码：73 / 89
页数：17
相关论文
共 50 条
  • [1] BREAKTHROUGH PRESSURE FOR RANDOM SPHERE PACKINGS
    ICZKOWSKI, RP
    INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1967, 6 (02): : 263 - +
  • [2] The influence of the degree of heterogeneity on the elastic properties of random sphere packings
    Schenker, Iwan
    Filser, Frank T.
    Hutter, Markus
    Gauckler, Ludwig J.
    GRANULAR MATTER, 2012, 14 (03) : 333 - 340
  • [3] The influence of the degree of heterogeneity on the elastic properties of random sphere packings
    Iwan Schenker
    Frank T. Filser
    Markus Hütter
    Ludwig J. Gauckler
    Granular Matter, 2012, 14 : 333 - 340
  • [4] DISPLACEMENT OF LIQUIDS FROM RANDOM SPHERE PACKINGS
    ICZKOWSKI, RP
    INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1968, 7 (04): : 572 - +
  • [5] ORIENTATIONAL ORDER IN DENSE RANDOM SPHERE PACKINGS
    CLARKE, AS
    WILEY, JD
    PHYSICAL REVIEW B, 1988, 38 (06): : 3659 - 3664
  • [6] RANDOM PACKINGS AND COVERINGS OF UNIT N-SPHERE
    WYNER, AD
    BELL SYSTEM TECHNICAL JOURNAL, 1967, 46 (09): : 2111 - +
  • [7] Conductivity of random sphere packings: Effects of a size distribution
    Nettelblad, B
    Niklasson, GA
    PHYSICAL REVIEW E, 1996, 53 (04): : 3864 - 3866
  • [8] Geometrical cluster ensemble analysis of random sphere packings
    Wouterse, A.
    Philipse, A. P.
    JOURNAL OF CHEMICAL PHYSICS, 2006, 125 (19):
  • [9] AN OPTICAL MACHINE FOR MEASURING SPHERE COORDINATES IN RANDOM PACKINGS
    BERNAL, JD
    CHERRY, IA
    FINNEY, JL
    KNIGHT, KR
    JOURNAL OF PHYSICS E-SCIENTIFIC INSTRUMENTS, 1970, 3 (05): : 388 - &
  • [10] Random perfect lattices and the sphere packing problem
    Andreanov, A.
    Scardicchio, A.
    PHYSICAL REVIEW E, 2012, 86 (04):
12345