Self-Focussing Dynamics in Monopolarly Charged Suspensions
| dc.creator | Dammer, Stephan M. | |
| dc.creator | Wolf, Dietrich E. | |
| dc.date | 2004-04-22 | |
| dc.date | 2004-11-02 | |
| dc.date.accessioned | 2026-07-25T15:34:19Z | |
| dc.description | The Smoluchowski equation for irreversible aggregation in suspensions of equally charged particles is studied. Accumulation of charges during the aggregation process leads to a crossover from power law to sub-logarithmic cluster growth at a characteristic time and cluster size. For larger times the suspension is usually called stable, although aggregation still proceeds slowly. In this regime the size distribution evolves towards a {\em universal} scaling form, independent of {\em any} parameter included in the theory. The relative width falls off to a universal value $σ_{\rm r}^{\infty}{\approx}0.2017$ that is much smaller than in the uncharged case. We conjecture that $σ_{\rm r}^{\infty}$ is a lower bound for the asymptotic relative width for all physical systems with irreversible aggregation. | |
| dc.description | 4 pages, 4 figures, minor changes | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404546 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404546 | |
| dc.identifier | Phys. Rev. Lett. 93, 150602 (2004) | |
| dc.identifier | doi:10.1103/PhysRevLett.93.150602 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/35003 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Self-Focussing Dynamics in Monopolarly Charged Suspensions | |
| dc.type | text |