A column of grains in the jamming limit: glassy dynamics in the compaction process

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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29 pages, 14 figures, 1 table. Various minor changes and updates. To appear in EPJ B

Scientific paper

10.1140/epjb/e2003-00292-2

We investigate a stochastic model describing a column of grains in the jamming limit, in the presence of a low vibrational intensity. The key control parameter of the model, $\epsilon$, is a representation of granular shape, related to the reduced void space. Regularity and irregularity in grain shapes, respectively corresponding to rational and irrational values of $\epsilon$, are shown to be centrally important in determining the statics and dynamics of the compaction process.

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