Force distribution in a scalar model for non-cohesive granular material

Details Force distribution in a scalar model for non-cohesive granular material Force distribution in a scalar model for non-cohesive granular material

1998-10-29

arxiv.org/abs/cond-mat/9810392v1

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 9 figures, Submitted to PRE

Scientific paper

10.1103/PhysRevE.60.1999

We study a scalar lattice model for inter-grain forces in static, non-cohesive, granular materials, obtaining two primary results. (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial exponent, which moreover varies with system geometry. (ii) Probability distributions for forces on individual grains appear Gaussian at all stages of compression, showing no evidence of exponential tails. With regard to both results, we identify correlations responsible for deviations from previously suggested theories.

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