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Self-Focussing Dynamics in Monopolarly Charged Suspensions

Stephan M. Dammer·Dietrich E. Wolf
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Abstract

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.

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Stephan M. Dammer, Dietrich E. Wolf. 2004-11-02. Self-Focussing Dynamics in Monopolarly Charged Suspensions. https://doi.org/10.1103/physrevlett.93.150602

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