From force distribution to average coordination number in frictional granular matter

Ping Wang, Chaoming Song, Christopher Briscoe, Kun Wang, Hernn A. Makse

Research output: Contribution to journalArticle

11 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)3972-3977
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume389
Issue number19
DOIs
StatePublished - Oct 1 2010
Externally publishedYes

Keywords

  • Force distribution
  • Granular matter

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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