Conference Presentation (Other) FZJ-2016-05438

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Cluster Formation in Stochastic Disk Systems

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2016

14 th International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2016, RhodosRhodos, Greece, 19 Sep 2016 - 25 Sep 20162016-09-192016-09-25

Abstract: The problem of randomly distributed disks is considered in the dilute regime in a two-dimensional domain. Disks are allowed to overlap and to form clusters which may be isolated or percolating. Depending on the number and size of the disks, distribution functions are obtained for dierent size and bond configurations of clusters. A statistical geometrical approach istaken to derive analytical probabilities for cluster formation in systems, where a maximum of four overlapping disks is considered. Monte Carlo computations are carried out to verify our theoretical approach which is shown to be in close agreement with numerical simulations.


Contributing Institute(s):
  1. Jülich Supercomputing Center (JSC)
Research Program(s):
  1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
  2. Simulation and Data Laboratory Complex Particle Systems (SDLCPS)

Appears in the scientific report 2016
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