Active transport and cluster formation on 2D networks
Active transport and cluster formation on 2D networks
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.
191-208
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Santen, Ludger
0ba4b37c-977a-427e-abf7-b2ad64935767
31 March 2010
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Santen, Ludger
0ba4b37c-977a-427e-abf7-b2ad64935767
Greulich, Philip and Santen, Ludger
(2010)
Active transport and cluster formation on 2D networks.
European Physical Journal:Soft Matter E, 32, .
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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Greulich Santen EPJ E 2010
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Published date: 31 March 2010
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Applied Mathematics
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Local EPrints ID: 412058
URI: http://eprints.soton.ac.uk/id/eprint/412058
PURE UUID: 2a2a94dc-04dd-445a-9d4e-8ed19610fc69
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Date deposited: 05 Jul 2017 16:31
Last modified: 16 Mar 2024 04:17
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Author:
Ludger Santen
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