The tail of the contact force distribution in static granular materials

Details The tail of the contact force distribution in static granular materials The tail of the contact force distribution in static granular materials

2007-02-22

arxiv.org/abs/cond-mat/0702520v1

Phys. Rev. E 75, 060302(R) (2007).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.75.060302

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 and three dimensions. Our findings unambiguously show that, in the ensemble approach, the force distributions decay much faster than exponentially: P(f) ~ exp(-f^{\alpha}), with alpha \approx 2.0 for 2D systems, and alpha \approx 1.7 for 3D systems.

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