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Elastocapillary coalescence: aggregation and fragmentation with a maximal size.

Arezki Boudaoud¹, José Bico, Benoît Roman

¹Laboratoire de Physique Statistique, UMR 8550 du CNRS/ENS/Paris 6/Paris 7, 24 rue Lhomond, Paris Cedex 5, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 1, 2008

Summary

Experiments show capillary-driven coalescence of flexible structures creates a size distribution without exponential tails. A maximal aggregate size, imposed by the physical process, acts as the key scale, explained by a nearest-neighbor aggregation model and mean-field theory.

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Area of Science:

Physics
Materials Science
Complex Systems

Background:

Typical aggregation processes result in broad size distributions with exponential tails.
Understanding size distributions is crucial in various physical and chemical phenomena.

Purpose of the Study:

To investigate the size distribution resulting from capillary-driven coalescence of regularly spaced flexible structures.
To develop a theoretical model explaining the observed distribution and its deviation from typical aggregation behavior.

Main Methods:

Experimental study of capillary-driven coalescence of flexible structures.
Development of a simple toy model based on nearest-neighbor aggregation.
Application of mean-field theory incorporating a maximal size constraint.

Main Results:

The experiments yielded a self-similar size distribution lacking exponential tails.
A maximal aggregate size was identified as the relevant scale for the distribution.
The toy model and mean-field theory successfully reproduced the experimental statistics.

Conclusions:

Capillary-driven coalescence of flexible structures leads to a unique size distribution governed by a maximal size.
The findings challenge conventional aggregation theories and offer a new perspective on size-scaling phenomena.
The theoretical framework is extendable to fragmentation processes.