Condensation-Driven Aggregation in One Dimension
| dc.creator | Hassan, M. K. | |
| dc.creator | Hassan, M. Z. | |
| dc.date | 2008-06-30 | |
| dc.date.accessioned | 2026-07-07T09:47:27Z | |
| dc.date.available | 2026-07-07T09:47:27Z | |
| dc.description | We propose a model for aggregation where particles are continuously growing by heterogeneous condensation in one dimension and solve it exactly. We show that the particle size spectra exhibit transition to dynamic scaling $c(x,t)\sim t^{-β}ϕ(x/t^z)$. The exponents $β$ and $z$ satisfy a generalized scaling relation $β=(1+q)z$ where the value of $q$ is fixed by a non-trivial conservation law. We have shown that the value of $(1+q)$ is always less than the value 2 of aggregation without condensation. | |
| dc.description | 6 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0806.4872 | |
| dc.identifier | http://arxiv.org/abs/0806.4872 | |
| dc.identifier | Phys. Rev. E, {\bf 77} 061404 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.061404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163881 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Condensation-Driven Aggregation in One Dimension | |
| dc.type | text |