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Shaking a Box of Sand

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  • Peter F. Stadler
  • Anita Mehta
  • Jean-Marc Luck

Abstract

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 a `glass transition' 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.

Suggested Citation

  • Peter F. Stadler & Anita Mehta & Jean-Marc Luck, 2001. "Shaking a Box of Sand," Working Papers 01-03-013, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:01-03-013
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    1. Jose M. Montoya & Ricard V. Solé, 2000. "Small World Patterns in Food Webs," Working Papers 00-10-059, Santa Fe Institute.
    2. Ricard V. Solé & José M. Montoya, 2000. "Complexity and Fragility in Ecological Networks," Working Papers 00-11-060, Santa Fe Institute.
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