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From force distribution to average coordination number in frictional granular matter

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  • Wang, Ping
  • Song, Chaoming
  • Briscoe, Christopher
  • Wang, Kun
  • Makse, Hernán A.

Abstract

We study the joint probability distribution of normal and tangential frictional forces in jammed granular media, Pμ(ft,fn), for various values of the friction coefficient μ, especially when μ=∞. A universal scaling law is found to collapse the data for μ=0 to ∞, demonstrating a link between the force distribution Pμ(ft,fn) and the average coordination number, zcμ. The results determine zcμ for a finite friction coefficient, extending the constraint-counting argument of isostatic granular packing to finite frictional packings.

Suggested Citation

  • Wang, Ping & Song, Chaoming & Briscoe, Christopher & Wang, Kun & Makse, Hernán A., 2010. "From force distribution to average coordination number in frictional granular matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 3972-3977.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:19:p:3972-3977
    DOI: 10.1016/j.physa.2010.05.053
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    Keywords

    Force distribution; Granular matter;

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