Abstract
The results of an an analytic study of the three-urn model for separation of sand were investigated. The master equation was solved in the thermodynamic limit, and showed the nature of a deformed wave. It was found that the characteristic lifetime of a cluster diverged algebraically with the exponent 1/3 at the limit of stability. The scaling property of the characteristic time scale and the limit of stability were obtained from the characteristic scales of the probability distributions and the mean-field flux equation.
| Original language | English |
|---|---|
| Article number | 031305 |
| Pages (from-to) | 031305-1-031305-5 |
| Journal | Physical Review E |
| Volume | 70 |
| Issue number | 3 1 |
| DOIs | |
| State | Published - Sep 2004 |