Summary: Eur. Phys. J. E 22, 235240 (2007)
DOI: 10.1140/epje/e2007-00033-x THE EUROPEAN
PHYSICAL JOURNAL E
Correlations and aggregate statistics in granular packs
and T. Di Matteo
Department of Applied Mathematics, Research School of Physical Sciences and Engineering, The Australian National University,
0200 Canberra, Australia
Received 4 January 2007
Published online: 11 April 2007 c EDP Sciences, Societ`a Italiana di Fisica, Springer-Verlag 2007
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 VoronoĻi 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
The study of volume fluctuations in large granular ag-