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Threshold of hierarchical percolating systems
KTH, School of Information and Communication Technology (ICT), Integrated Devices and Circuits.ORCID iD: 0000-0002-6430-6135
KTH, School of Information and Communication Technology (ICT), Integrated Devices and Circuits.ORCID iD: 0000-0002-5845-3032
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 85, no 2, 021109- p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
POLYMER BLENDS, CONDUCTIVITY, CLUSTER
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-90898DOI: 10.1103/PhysRevE.85.021109ISI: 000299995500002Scopus ID: 2-s2.0-84863149938OAI: oai:DiVA.org:kth-90898DiVA: diva2:507963
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QC 20120307

Available from: 2012-03-07 Created: 2012-03-05 Last updated: 2017-12-07Bibliographically approved

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Li, Jiantong

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