Force Statistics and Correlations in Dense Granular Packings

Details Force Statistics and Correlations in Dense Granular Packings Force Statistics and Correlations in Dense Granular Packings

2009-12-14

arxiv.org/abs/0912.2624v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 12 figures

Scientific paper

In dense, static, polydisperse granular media under isotropic pressure, the probability density and the correlations of particle-wall contact forces are studied. Furthermore, the probability density functions of the populations of pressures measured with different sized circular pressure cells is examined. The questions answered are: (i) What is the number of contacts that has to be considered so that the measured pressure lies within a certain error margin from its expectation value? (ii) What is the statistics of the pressure probability density as function of the size of the pressure cell? Astonishing non-random correlations between contact forces are evidenced, which range at least 10 to 15 particle diameter. Finally, an experiment is proposed to tackle and better understand this issue.

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