A deterministic model of competitive cluster growth: glassy dynamics, metastability and pattern formation
| dc.creator | Luck, J. M. | |
| dc.creator | Mehta, Anita | |
| dc.date | 2004-10-15 | |
| dc.date.accessioned | 2026-07-07T03:01:29Z | |
| dc.date.available | 2026-07-07T03:01:29Z | |
| dc.description | We investigate a model of interacting clusters which compete for growth. For a finite assembly of coupled clusters, the largest one always wins, so that all but this one die out in a finite time. This scenario of `survival of the biggest' still holds in the mean-field limit, where the model exhibits glassy dynamics, with two well separated time scales, corresponding to individual and collective behaviour. The survival probability of a cluster eventually falls off according to the universal law $(\ln t)^{-1/2}$. Beyond mean field, the dynamics exhibits both aging and metastability, with a finite fraction of the clusters surviving forever and forming a non-trivial spatial pattern. | |
| dc.description | 28 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0410385 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0410385 | |
| dc.identifier | Eur. Phys. J. B 44, 79-92 (2005) | |
| dc.identifier | doi:10.1140/epjb/e2005-00102-y | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25073 | |
| dc.subject | Statistical Mechanics | |
| dc.title | A deterministic model of competitive cluster growth: glassy dynamics, metastability and pattern formation | |
| dc.type | text |