Logarithmic density relaxation in compaction of granular materials
Soft Condensed Matter
2009-10-30 v1
Abstract
On the basis of physical considerations we propose a one-dimensional discrete lattice model for the density relaxation of granular materials under tapping. Solving the difference equation numerically, we find a logarithmic time-dependence of the density relaxation. This is in agreement with experimental results of Knight et al. [Phys. Rev. E 51, 3957(1995)]. The origin of this anomalous relaxation is elucidated analytically by solving the equation of its continuum version asymptotically in time.
Keywords
Cite
@article{arxiv.cond-mat/9707237,
title = {Logarithmic density relaxation in compaction of granular materials},
author = {Gongwen Peng and Takao Ohta},
journal= {arXiv preprint arXiv:cond-mat/9707237},
year = {2009}
}
Comments
12 pages, RevTex, 5 figures in postscript