Self-Focussing Dynamics in Monopolarly Charged Suspensions

Details Self-Focussing Dynamics in Monopolarly Charged Suspensions Self-Focussing Dynamics in Monopolarly Charged Suspensions

2004-04-22

arxiv.org/abs/cond-mat/0404546v2

Phys. Rev. Lett. 93, 150602 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, minor changes

Scientific paper

10.1103/PhysRevLett.93.150602

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 $\sigma_{\rm r}^{\infty}{\approx}0.2017$ that is much smaller than in the uncharged case. We conjecture that $\sigma_{\rm r}^{\infty}$ is a lower bound for the asymptotic relative width for all physical systems with irreversible aggregation.

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