The European Physical Journal E

, Volume 22, Issue 3, pp 235–240 | Cite as

Correlations and aggregate statistics in granular packs

Topical Issue on Dygram 2006

Abstract.

We study how the aggregate statistical properties for density fluctuations in granular aggregates scale with the sample size and how such a scaling is associated with the correlations between grains. Correlations are studied both between grain positions and between Voronoï cell volumes, showing distinct behaviors and properties. A non-linear scaling in the aggregate volume fluctuations as function of the sample size is discovered and the connection between such anomalous scaling and correlations is explained. It emerges that volume fluctuations might be described by means of a single universal equation for all samples at all cluster sizes.

PACS.

45.70.-n Granular systems 45.70.Cc Static sandpiles; Granular compaction  81.05.Rm Porous materials; Granular materials 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Edwards, R. Oakeshott, Physica A 157, 1080 (1989) CrossRefADSMathSciNetGoogle Scholar
  2. A. Mehta, S.F. Edwards, Physica A 157, 1091 (1989) CrossRefADSMathSciNetGoogle Scholar
  3. A. Fierro, M. Nicodemi, A. Coniglio, Europhys. Lett. 59, 642 (2002) CrossRefADSGoogle Scholar
  4. H.A. Makse, J. Kurchan, Nature 415, 614 (2002) CrossRefADSGoogle Scholar
  5. B. Behringer, Nature 415, 594 (2002) CrossRefGoogle Scholar
  6. G. D'Anna, P. Mayor, A. Barrat, V. Loreto, F. Nori, Nature 424, 909 (2003) CrossRefADSGoogle Scholar
  7. R.P. Ojha, P.A. Lemieux, P.K. Dixon, A.J. Liu, D.J. Durian, Nature 427, 521 (2004) CrossRefADSGoogle Scholar
  8. P. Richard, M. Nicodemi, R. Delannay, P. Ribiere, D. Bideau, Nature Materials 4, 121 (2005) CrossRefADSGoogle Scholar
  9. M.P. Ciamarra, M. Nicodemi, A. Coniglio, Phys. Rev. Lett. 97, 158001 (2006) CrossRefADSGoogle Scholar
  10. P.T. Metzger, Phys. Rev. E. 70, 051303 1 (2004) CrossRefADSGoogle Scholar
  11. P. T. Metzger, C. M. Donahue, Phys. Rev. Lett. 94, 148001 (2005). CrossRefADSGoogle Scholar
  12. M. Schröter, D.I. Goldman, H.L. Swinney, Phys. Rev. E. 71, 30301 (R) (2005) CrossRefGoogle Scholar
  13. T. Aste, T.D. Matteo, M. Saadatfar, T. Senden, M. Schröter, H.L. Swinney, preprint, arXvi-0612063 (2006) Google Scholar
  14. T. Aste, M. Saadatfar, A. Sakellariou, T. Senden, Physica A 339, 16 (2004 Google Scholar
  15. T. Aste, J. Phys.: Condens. Matter 17, S2361 (2005) Google Scholar
  16. T. Aste, M. Saadatfar, T.J. Senden, Phys. Rev. E 71, 061302 (2005) CrossRefADSGoogle Scholar
  17. T. Aste, Phys. Rev. Lett. 96, 018002 (2006) CrossRefADSGoogle Scholar
  18. F. Lechenault, F. da Cruz, O. Dauchot, J. Stat. Mech. P07009, 1742 (2006) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Applied MathematicsResearch School of Physical Sciences and Engineering, The Australian National UniversityCanberraAustralia

Personalised recommendations