A minimal model for slow dynamics: Compaction of granular media under vibration or shear

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Based on experiments of the compaction of granular materials under periodic shear of a packing of glass beads, a minimal model for the dynamics of the packing density as a function of time is proposed. First, a random ``energy landscape'' is created by a random walk (RW) in energy. Second, an ensemble of RWs is performed for various temperatures in different temperature-time sequences. We identify the minimum (mean) of the energy landscape with the maximum (random) density. The temperature scaled by the step-size of the energy landscape determines the dynamics of the system and can be regarded as the agitation or shear amplitude. The model reproduces qualitatively both tapping and shear experiments. {\bf Key-words}: Compaction, crystallization, Sinai-diffusion, random walks, quenched disorder
8 pages, 4 figures - presented at: Compaction, Innsbruck, Austria Feb. 2000

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Statistical Mechanics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/16139

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0003172
 http://arxiv.org/abs/cond-mat/0003172
 page 241 in: Compaction of Soils, Granulates and Powders, D. Kolymbas and W. Fellin (eds.), A. A. Balkema, Rotterdam (2000)

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arXiv