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.
Physica A Statistical Mechanics and its Applications
- Pub Date:
- October 2010
- Condensed Matter - Soft Condensed Matter;
- Condensed Matter - Disordered Systems and Neural Networks
- 5 pages, 4 figures