Ground-state structure and dynamics in a toy model for granular compaction

Details Ground-state structure and dynamics in a toy model for granular compaction Ground-state structure and dynamics in a toy model for granular compaction

2005-10-03

arxiv.org/abs/cond-mat/0510037v1

Physica D 216 (2006), 172-178

Physics

Condensed Matter

Statistical Mechanics

17 pages. 8 figures. To appear in a special volume of Physica D (Serge Aubry 60th birthday symposium)

Scientific paper

10.1016/j.physd.2005.12.014

We report on a toy model for the glassy compaction dynamics of granular systems, introduced and investigated in collaboration with Anita Mehta and Peter Stadler. A stochastic dynamics is defined on a column of grains. Grains are anisotropic and possess a discrete orientational degree of freedom. Gravity induces long-range directional interactions down the column. The key control parameter of the model, $\epsilon$, is a representation of granular shape. Rational and irrational values of $\epsilon$ correspond to very different kinds of behavior, both in statics (structure of ground states) and in low-temperature dynamics (retrieval of ground states).

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