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Hierarchical renormalization-group study on the planar bond-percolation problem
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
2011 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 83, no 5, 055601- p.Article in journal (Refereed) Published
Abstract [en]

For certain hierarchical structures, one can study the percolation problemusing the renormalization-group method in a very precise way.We show that the idea can be alsoapplied to two-dimensional planar lattices by regarding them as hierarchicalstructures. Either a lower bound or an exact critical probability can beobtained with this method and the correlation-length critical exponent isapproximately estimated as $\nu \approx 1$.

Place, publisher, year, edition, pages
IOP Publishing , 2011. Vol. 83, no 5, 055601- p.
Keyword [en]
Percolation, Critical point phenomena, Renormalization-group theory
National Category
Condensed Matter Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:umu:diva-43641DOI: 10.1088/0031-8949/83/05/055601OAI: oai:DiVA.org:umu-43641DiVA: diva2:414941
Funder
Swedish Research Council, 621-2008-4449
Available from: 2011-05-10 Created: 2011-05-05 Last updated: 2011-05-10Bibliographically approved

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Baek, Seung KiMinnhagen, Petter
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