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Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Aug;90(2):022301. Epub 2014 Aug 12.

Clustering of low-valence particles: structure and kinetics.

Author information

1
Institut de Biologie du Développement de Marseille, UMR7288 CNRS/Aix-Marseille Université, Campus de Luminy, 13288 Marseille cedex 9, France.
2
University of Washington, 620 University Rd., Friday Harbor, Washington 98250, USA.
3
Department of Molecular Genetics and Cell Biology, University of Chicago, 5801 South Ellis Avenue, Chicago, Illinois 60637, USA.

Abstract

We compute the structure and kinetics of two systems of low-valence particles with three or six freely oriented bonds in two dimensions. The structure of clusters formed by trivalent particles is complex with loops and holes, while hexavalent particles self-organize into regular and compact structures. We identify the elementary structures which compose the clusters of trivalent particles. At initial stages of clustering, the clusters of trivalent particles grow with a power-law time dependence. Yet at longer times fusion and fission of clusters equilibrates and clusters form a heterogeneous phase with polydispersed sizes. These results emphasize the role of valence in the kinetics and stability of finite-size clusters.

PMID:
25215732
DOI:
10.1103/PhysRevE.90.022301
[Indexed for MEDLINE]

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