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Active transport and cluster formation on 2D networks

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Abstract.

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.

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Authors and Affiliations

  1. Fachrichtung Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany

    P. Greulich & L. Santen

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  1. P. Greulich
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  2. L. Santen
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Correspondence to P. Greulich.

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Greulich, P., Santen, L. Active transport and cluster formation on 2D networks. Eur. Phys. J. E 32, 191–208 (2010). https://doi.org/10.1140/epje/i2010-10603-6

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