Change search
ReferencesLink to record
Permanent link

Direct link
Precise percolation thresholds of two-dimensional random systems comprising overlapping ellipses
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.
2016 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 462, 940-950 p.Article in journal (Refereed) Published
Abstract [en]

This work explores the percolation thresholds of continuum systems consisting of randomly-oriented overlapping ellipses. High-precision percolation thresholds for various homogeneous ellipse systems with different aspect ratios are obtained from extensive Monte Carlo simulations based on the incorporation of Vieillard-Baron's contact function of two identical ellipses with our efficient algorithm for continuum percolation. In addition, we generalize Vieillard-Baron's contact function from identical ellipses to unequal ellipses, and extend the Monte Carlo algorithm to heterogeneous ellipse systems where the ellipses have different dimensions and/or aspect ratios. Based on the concept of modified excluded area, a general law is verified for precise prediction of percolation threshold for many heterogeneous ellipse systems. In particular, the study of heterogeneous ellipse systems gains insight into the apparent percolation threshold symmetry observed earlier in systems comprising unequal circles (Consiglio et al., 2004).

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 462, 940-950 p.
Keyword [en]
Ellipse percolation, Newman-Ziff algorithm, Continuum systems, Heterogeneous percolation
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-193152DOI: 10.1016/j.physa.2016.06.020ISI: 000381841900082ScopusID: 2-s2.0-84978269203OAI: diva2:1034150
EU, European Research Council, 641416Göran Gustafsson Foundation for promotion of scientific research at Uppala University and Royal Institute of Technology, 1415BStiftelsen Olle Engkvist Byggmästare, 2014/799Swedish Research Council, 2014–6160Swedish Research Council, 2015-00395EU, FP7, Seventh Framework Programme, INCA 600398VINNOVA, 2015-01337

QC 20161011

Available from: 2016-10-11 Created: 2016-09-30 Last updated: 2016-11-22Bibliographically approved

Open Access in DiVA

fulltext(830 kB)10 downloads
File information
File name FULLTEXT01.pdfFile size 830 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Li, JiantongOstling, Mikael
By organisation
Integrated Devices and Circuits
In the same journal
Physica A: Statistical Mechanics and its Applications
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 10 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 40 hits
ReferencesLink to record
Permanent link

Direct link