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