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The European Physical Journal Special Topics

, Volume 191, Issue 1, pp 173–185 | Cite as

Cluster dynamics and cluster size distributions in systems of self-propelled particles

  • F. Peruani
  • L. Schimansky-Geier
  • M. Bär
Regular article

Abstract.

Systems of self-propelled particles (SPP) interacting by a velocity alignment mechanism in the presence of noise exhibit rich clustering dynamics. Often, clusters are responsible for the distribution of (local) information in these systems. Here, we investigate the properties of individual clusters in SPP systems, in particular the asymmetric spreading behavior of clusters with respect to their direction of motion. In addition, we formulate a Smoluchowski-type kinetic model to describe the evolution of the cluster size distribution (CSD). This model predicts the emergence of steady-state CSDs in SPP systems. We test our theoretical predictions in simulations of SPP with nematic interactions and find that our simple kinetic model reproduces qualitatively the transition to aggregation observed in simulations.

Keywords

Liquid Crystal European Physical Journal Special Topic Noise Intensity Cluster Dynamic Cluster Size Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2011

Authors and Affiliations

  • F. Peruani
    • 1
  • L. Schimansky-Geier
    • 2
  • M. Bär
    • 3
  1. 1.Max-Planck-Institute for Physics of Complex SystemsDresdenGermany
  2. 2.Institute of Physics, Humboldt University BerlinBerlinGermany
  3. 3.Physikalisch-Technische BundesanstaltBerlinGermany

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