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Percolation thresholds of two-dimensional continuum systems of rectangles
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
2013 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 88, no 1, 012101- p.Article in journal (Refereed) Published
Abstract [en]

The present paper introduces an efficient Monte Carlo algorithm for continuum percolation composed of randomly oriented rectangles. By conducting extensive simulations, we report high-precision percolation thresholds for a variety of homogeneous systems with different rectangle aspect ratios. This paper verifies and extends the excluded area theory. It is confirmed that percolation thresholds are dominated by the average excluded areas for both homogeneous and heterogeneous rectangle systems (except for some special heterogeneous systems where the rectangle lengths differ too much from one another). In terms of the excluded areas, generalized formulas are proposed to effectively predict precise percolation thresholds for all these rectangle systems. This paper is, therefore, helpful for both practical applications and theoretical studies concerning relevant systems.

Place, publisher, year, edition, pages
American Physical Society , 2013. Vol. 88, no 1, 012101- p.
Keyword [en]
Graphene, Exfoliation, Nanosheets, Nanotubes
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Other Physics Topics
Identifiers
URN: urn:nbn:se:kth:diva-124956DOI: 10.1103/PhysRevE.88.012101ISI: 000321277000001Scopus ID: 2-s2.0-84880228081OAI: oai:DiVA.org:kth-124956DiVA: diva2:638790
Funder
EU, European Research Council, 228229EU, FP7, Seventh Framework Programme, NoE 257375
Note

QC 20130802

Available from: 2013-08-02 Created: 2013-08-02 Last updated: 2017-12-06Bibliographically approved

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Li, Jiantong

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