Tail of the contact force distribution in static granular materials

A.R.T. van Eerd, W.G. Ellenbroek, M. van Hecke, J.H. snoeijer, T.J.H. Vlugt

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We numerically study the distribution P(f) of contact forces in frictionless bead packs, by averaging over the ensemble of all possible force network configurations. We resort to umbrella sampling to resolve the asymptotic decay of P(f) for large f, and determine P(f) down to values of order 10-45 for ordered and disordered systems in two (2D) and three dimensions (3D). Our findings unambiguously show that, in the ensemble approach, the force distributions decay much faster than exponentially: P(f)~ exp(-cfα), with a = 2.0 for 2D systems, and α = 1.7 for 3D systems.
Original languageUndefined/Unknown
Pages (from-to)060302-1-060302-4
Number of pages4
JournalPhysical Review. E, Statistical, nonlinear, and soft matter physics
Publication statusPublished - 2007

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