Avalanche mixing of granular solids in a rotating 2D drum: diffusion and fractionality
| dc.creator | Dorogovtsev, S. N. | |
| dc.date | 1998-07-29 | |
| dc.date | 1998-08-03 | |
| dc.date.accessioned | 2026-07-07T03:11:10Z | |
| dc.date.available | 2026-07-07T03:11:10Z | |
| dc.description | The dynamics of the avalanche mixing in a slowly rotated 2D upright drum is studied in the situation where the difference $δ$ between the angle of marginal stability and the angle of repose of the granular material is finite. An analytical solution of the problem is found for a half filled drum, that is the most interesting case. The mixing is described by a simple linear difference equation. We show that the mixing looks like linear diffusion of fractions under consideration with the diffusion coefficient vanishing when $δ$ is an integer part of $π$. The characteristic mixing time tends to infinity in these points. A full dependence of the mixing time on $δ$ is calculated and predictions for an experiment are made. | |
| dc.description | 7 pages (epsf-LaTeX) and 2 EPS figures, a misprint is corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9807386 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9807386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28472 | |
| dc.subject | Condensed Matter | |
| dc.subject | Mathematical Physics | |
| dc.title | Avalanche mixing of granular solids in a rotating 2D drum: diffusion and fractionality | |
| dc.type | text |