Free volume distributions inside a bidimensional granular medium
Soft Condensed Matter
2007-05-23 v1 Statistical Mechanics
Abstract
We investigate experimentally within a two-dimensional cell the distribution of the free volume associated either to single grains or to clusters of grains. Our main result is that the logarithm of the probability to find a free volume per grain v_N^f in a cluster of N grains scales as N^alpha g(v_N^f), with alpha = 0.75. We interpret this non extensive scaling factor N^alpha as an evidence for the onset of long range correlations between the free volumes of individual grains. We also discuss the possible relation between g(v_N^f) and Edwards entropy.
Cite
@article{arxiv.cond-mat/0502504,
title = {Free volume distributions inside a bidimensional granular medium},
author = {F. da Cruz and F. Lechenault and O. Dauchot and E. Bertin},
journal= {arXiv preprint arXiv:cond-mat/0502504},
year = {2007}
}
Comments
4 pages, 6 figures, submitted to the Proceedings of the conference "Powders and Grains 2005"