Modelling Complex Multi-particle Transport: From Smooth Flow to Cluster Formation

  • Ko van der WeeleEmail author
  • Giorgos Kanellopoulos
Part of the Springer Proceedings in Complexity book series (SPCOM)


One of the major problems with multi-particle flows is their tendency to spontaneously form clusters. This is a hot topic in contemporary science not only because of its fundamental interest but also because of its ubiquity in industrial applications and everyday life. Here we present a clear-cut method to model the clustering, dividing the available space in a grid of discrete cells and describing the dynamics from cell to cell by means of a flux function. The method is illustrated by two representative examples: the onset of clustering in granular flow on a conveyor belt and the formation of traffic jams on the highway. Further insight is gained by studying the continuum limit of the model.


Pattern formation Granular transport Clustering 



This work is part of the research programme of the European Complexity-NET project “Complex Matter”, which is financially supported by the Greek General Secretariat for Research and Technology (GSRT).


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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  1. 1.Center for Research and Applications of Nonlinear Systems, Department of MathematicsUniversity of PatrasPatrasGreece

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