Aggregation rates in one-dimensional stochastic systems with adhesion and gravitation
| dc.creator | Lifshits, Mikhail | |
| dc.creator | Shi, Zhan | |
| dc.date | 2003-11-03 | |
| dc.date | 2005-04-06 | |
| dc.date.accessioned | 2026-07-07T02:54:33Z | |
| dc.date.available | 2026-07-07T02:54:33Z | |
| dc.description | We consider one-dimensional systems of self-gravitating sticky particles with random initial data and describe the process of aggregation in terms of the largest cluster size L_n at any fixed time prior to the critical time. The asymptotic behavior of L_n is also analyzed for sequences of times tending to the critical time. A phenomenon of phase transition shows up, namely, for small initial particle speeds (``cold'' gas) L_n has logarithmic order of growth while higher speeds (``warm'' gas) yield polynomial rates for L_n. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117904000000900 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0311025 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0311025 | |
| dc.identifier | Annals of Probability 2005, Vol. 33, No. 1, 53-81 | |
| dc.identifier | doi:10.1214/009117904000000900 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22597 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Probability | |
| dc.subject | 60K35, 70F10, 60F10. (Primary) | |
| dc.title | Aggregation rates in one-dimensional stochastic systems with adhesion and gravitation | |
| dc.type | text |