### Abstract

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 are 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 that lead to a rapid decay of the width of the distribution and range at least 10–15 particle diameters. Finally, an experiment is proposed to tackle and better understand this issue.

Original language | English |
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Pages (from-to) | 600-605 |

Number of pages | 5 |

Journal | Chemical physics |

Volume | 375 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 2010 |

### Keywords

- Force and stress correlations
- METIS-272349
- Dense static granular packings
- Pressure cells
- DEM simulations
- IR-80373

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## Cite this

Müller, M. K., Luding, S., & Pöschel, T. (2010). Force Statistics and Correlations in Dense Granular Packings.

*Chemical physics*,*375*(2-3), 600-605. https://doi.org/10.1016/j.chemphys.2010.07.020