 Breakdown of universality in directed spiral percolationS. Sinha and S. Santra () The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 39, issue 4, 513-519 Abstract: Directed spiral percolation (DSP), percolation under both directional and rotational constraints, is studied on the triangular lattice in two dimensions (2D). The results are compared with that of the 2D square lattice. Clusters generated in this model are generally rarefied and have chiral dangling ends on both the square and triangular lattices. It is found that the clusters are more compact and less anisotropic on the triangular lattice than on the square lattice. The elongation of the clusters is in a different direction than the imposed directional constraint on both the lattices. The values of some of the critical exponents and fractal dimension are found considerably different on the two lattices. The DSP model then exhibits a breakdown of universality in 2D between the square and triangular lattices. The values of the critical exponents obtained for the triangular lattice are not only different from that of the square lattice but also different form other percolation models. Copyright Springer-Verlag Berlin/Heidelberg 2004 Date: 2004 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:39:y:2004:i:4:p:513-519 Ordering information: This journal article can be ordered from DOI: 10.1140/epjb/e2004-00224-8 Access Statistics for this article The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences |
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