Frictional indeterminancy of forces in hard-disk packings

被引:4
|
作者
Unger, T [1 ]
Kertész, J [1 ]
机构
[1] Budapest Univ Technol & Econ, Dept Theoret Phys, H-1111 Budapest, Hungary
来源
关键词
friction; isostatic; hyperstatic;
D O I
10.1142/S021797920302329X
中图分类号
O59 [应用物理学];
学科分类号
摘要
We study the statical indeterminacy of contact, forces in 2D random frictional packings of perfectly rigid disks. Based on contact dynamics simulations we perform a random walk in the force space in order to explore the equilibrium force-states for a fixed packing structure. Our measurement is in agreement with the isostaticity of frictionless hard particles, in that case forces are fully determined. For non-zeio friction coefficient the problem gets undetermined, the possible force fluctuations. are growing with increasing friction up to a maximum at friction coefficient around 0.1. Further increase of friction reduces the force fluctuations on the average.
引用
收藏
页码:5623 / 5630
页数:8
相关论文
共 50 条
  • [1] Geometric frustration of hard-disk packings on cones
    Sun, Jessica H.
    Plummer, Abigail
    Zhang, Grace H.
    Nelson, David R.
    Manoharan, Vinothan N.
    [J]. PHYSICAL REVIEW E, 2023, 108 (05)
  • [2] Sparse Hard-Disk Packings and Local Markov Chains
    Hoellmer, Philipp
    Noirault, Nicolas
    Li, Botao
    Maggs, A. C.
    Krauth, Werner
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2022, 187 (03)
  • [3] Nonequilibrium hard-disk packings with controlled orientational order
    Kansal, AR
    Truskett, TM
    Torquato, S
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2000, 113 (12): : 4844 - 4851
  • [4] Sparse Hard-Disk Packings and Local Markov Chains
    Philipp Höllmer
    Nicolas Noirault
    Botao Li
    A. C. Maggs
    Werner Krauth
    [J]. Journal of Statistical Physics, 2022, 187
  • [5] Model for estimation of critical packing density in polydisperse hard-disk packings
    Jalali, P.
    Li, M.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 : 230 - 238
  • [6] Model for estimation of critical packing density in polydisperse hard-disk packings
    School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332, United States
    不详
    [J]. Phys A Stat Mech Appl, 1-2 (230-238):
  • [7] Existence of isostatic, maximally random jammed monodisperse hard-disk packings
    Atkinson, Steven
    Stillinger, Frank H.
    Torquato, Salvatore
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2014, 111 (52) : 18436 - 18441
  • [8] COMPUTER-SIMULATION OF HARD-DISK PACKINGS WITH SPHERICAL BOUNDARY-CONDITIONS
    SCHREINER, W
    KRATKY, KW
    [J]. JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1982, 78 : 379 - 389
  • [9] THE HARD TIMES IN HARD-DISK DRIVES
    UTTAL, B
    [J]. FORTUNE, 1985, 112 (12) : 141 - &
  • [10] HARD-DISK DRIVES FOR THE MAC
    MILLER, MJ
    [J]. POPULAR COMPUTING, 1985, 4 (06): : 100 - 103