Volume 102, Number 4, May 2013
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||12 June 2013|
Modeling percolation in polydisperse systems
1 Université des Sciences et de la Technologie d'Oran, Mohamed Boudiaf, L.E.P.M. - B.P. 1505 El Mnaouer, Oran, Algeria
2 Aix Marseille Université, CNRS, IUSTI UMR 7343 - 13453 Marseille, France
3 DGA Techniques Navales - avenue de la Tour Royale, B.P. 40195, 83050 Toulon cedex, France
Received: 16 March 2013
Accepted: 18 May 2013
The process of percolation is investigated in 2D and 3D networks of randomly oriented and distributed inclusions (i.e., sticks, worms and squares). For 2D systems, the percolation threshold deviation from the usual one increases with size as a power law for small-sized inclusions, whereas it saturates for larger ones. For random worms a non-universal phase transition is observed. For 3D systems, the percolation threshold decreases as a power law for small thicknesses, and saturates for larger thicknesses. The distribution of connections indicates a small-world behavior of the system. This behavior does not alter the diffusive nature of propagation.
PACS: 64.60.ah – Percolation / 89.75.-k – Complex systems / 87.15.hj – Transport dynamics
© EPLA, 2013
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