Active transport and cluster formation on 2D networks
Fachrichtung Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany
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Accepted: 4 May 2010
Published online: 17 June 2010
We introduce a model for active transport on inhomogeneous networks embedded in a diffusive environment which is motivated by vesicular transport on actin filaments. In the presence of a hard-core interaction, particle clusters are observed that exhibit an algebraically decaying distribution in a large parameter regime, indicating the existence of clusters on all scales. The scale-free behavior can be understood by a mechanism promoting preferential attachment of particles to large clusters. The results are compared with a diffusion-limited aggregation model and active transport on a regular network. For both models we observe aggregation of particles to clusters which are characterized by a finite size scale if the relevant time scales and particle densities are considered.
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010