Volume 57, Number 1, January 2002
|Page(s)||46 - 52|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Shaking a box of sand
Institut für Theoretische Chemie und Molekulare Strukturbiologie,
Währingerstraße 17, A-1090 Wien, Austria
and The Santa Fe Institute - 1399 Hyde Park Rd., Santa Fe NM 87501, USA
2 Service de Physique Théorique (URA 2306 of CNRS.) , CEA Saclay - 91191 Gif-sur-Yvette cedex, France
3 S. N. Bose National Centre for Basic Sciences, Block JD Sector 3 Salt Lake, Calcutta 700098, India and ICTP - Strada Costiera 11, 34100 Trieste, Italy
Accepted: 18 October 2001
We present a simple model of a vibrated box of sand, and discuss its dynamics in terms of two parameters reflecting static and dynamic disorder, respectively. The fluidised, intermediate and frozen (“glassy”) dynamical regimes are extensively probed by analysing the response of the packing fraction to steady, as well as cyclic, shaking, and indicators of the onset of glassy behaviour are analysed. In the “glassy” regime, our model is exactly solvable, and allows for the qualitative description of ageing phenomena in terms of two characteristic lengths; predictions are also made about the influence of grain shape anisotropy on ageing behaviour.
PACS: 45.70.Cc – Static sandpiles; granular compaction / 45.70.Mg – Granular flow: mixing, segregation and stratification
© EDP Sciences, 2002
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