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

J. M. Luck
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Abstract

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, $ε$, is a representation of granular shape. Rational and irrational values of $ε$ 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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J. M. Luck. 2005-10-03. Ground-state structure and dynamics in a toy model for granular compaction. https://doi.org/10.1016/j.physd.2005.12.014

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