Dynamics at the angle of repose: jamming, bistability, and collapse

Details Dynamics at the angle of repose: jamming, bistability, and collapse Dynamics at the angle of repose: jamming, bistability, and collapse

2004-07-08

arxiv.org/abs/cond-mat/0407201v2

JSTAT (2004) P10015

Physics

Condensed Matter

Statistical Mechanics

15 pages, 1 figure. Minor changes and updates

Scientific paper

10.1088/1742-5468/2004/10/P10015

When a sandpile relaxes under vibration, it is known that its measured angle of repose is bistable in a range of values bounded by a material-dependent maximal angle of stability; thus, at the same angle of repose, a sandpile can be stationary or avalanching, depending on its history. In the nearly jammed slow dynamical regime, sandpile collapse to a zero angle of repose can also occur, as a rare event. We claim here that fluctuations of {\it dilatancy} (or local density) are the key ingredient that can explain such varied phenomena. In this work, we model the dynamics of the angle of repose and of the density fluctuations, in the presence of external noise, by means of coupled stochastic equations. Among other things, we are able to describe sandpile collapse in terms of an activated process, where an effective temperature (related to the density as well as to the external vibration intensity) competes against the configurational barriers created by the density fluctuations.

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