Logarithmic density relaxation in compaction of granular materials

Details Logarithmic density relaxation in compaction of granular materials Logarithmic density relaxation in compaction of granular materials

1997-07-23

arxiv.org/abs/cond-mat/9707237v1

Physics

Condensed Matter

Soft Condensed Matter

12 pages, RevTex, 5 figures in postscript

Scientific paper

10.1103/PhysRevE.57.829

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.

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