DIRECTED SPIRAL PERCOLATION HULL ON THE SQUARE AND TRIANGULAR LATTICES

Santanu Sinha and S. B. Santra ()
Additional contact information
Santanu Sinha: Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India
S. B. Santra: Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 08, 1251-1268

Abstract: Critical properties of hulls of directed spiral percolation clusters are studied on the square and triangular lattices in two dimensions (2D). The hull fractal dimension(dH)and some of the critical exponents associated with different moments of the hull size distribution function of the anisotropic DSP clusters are reported here. The values ofdHand other critical exponents are found the same within error bars on both the lattices. The universality of the hull's critical exponents then holds true between the square and triangular lattices in 2D unlike the cluster's critical exponents which exhibit a breakdown of universality. The hull fractal dimension(dH≈ 1.46)is also found close to 4/3 and away from 7/4, that of ordinary percolation cluster hull. A new conjecture is proposed fordHin terms of two connectivity length exponents (ν‖andν⊥) of the anisotropic clusters generated here. The values ofdHand other critical exponents obtained here are very close to that of the spiral percolation cluster hull. The hull properties of the DSP clusters are then mostly determined by the rotational constraint and almost independent of the directional constraint present in the model.

Keywords: Anisotropic hull; rotational constraint; universality (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183105007868
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:16:y:2005:i:08:n:s0129183105007868

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183105007868

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().