Threshold of hierarchical percolating systems
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 85, no 2, 021109- p.Article in journal (Refereed) Published
Many modern nanostructured materials and doped polymers are morphologically too complex to be interpreted by classical percolation theory. Here, we develop the concept of a hierarchical percolating (percolation-within-percolation) system to describe such complex materials and illustrate how to generalize the conventional percolation to double-level percolation. Based on Monte Carlo simulations, we find that the double-level percolation threshold is close to, but definitely larger than, the product of the local percolation thresholds for the two enclosed single-level systems. The deviation may offer alternative insights into physics concerning infinite clusters and open up new research directions for percolation theory.
Place, publisher, year, edition, pages
American Physical Society , 2012. Vol. 85, no 2, 021109- p.
POLYMER BLENDS, CONDUCTIVITY, CLUSTER
IdentifiersURN: urn:nbn:se:kth:diva-90898DOI: 10.1103/PhysRevE.85.021109ISI: 000299995500002ScopusID: 2-s2.0-84863149938OAI: oai:DiVA.org:kth-90898DiVA: diva2:507963
QC 201203072012-03-072012-03-052013-04-16Bibliographically approved