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Journal of Physics A: General PhysicsVolume 20, Issue 5, 1987, Article number 030, Pages 1215-1229

Critical exponents of the self-avoiding walks on a family of finitely ramified fractals(Article)

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  • Dept. of Phys. and Meteorol., Fac. of Natural and Math. Sci., Belgrade, Yugoslavia

Abstract

The authors have studied the self-avoiding walks (SAW) on a family of finitely ramified fractals. The first member (b=2) of the family is the two-dimensional Sierpinski gasket, while the last member (b= infinity ) appears to be a wedge of the homogeneous triangular lattice. By means of the exact renormalisation group transformations they have calculated the critical exponents alpha , nu and gamma , and the connectivity constant mu , of SAW on each member of a sequence (2<or=b<or=8) of the studied fractal family. The obtained exact results are compared with the recent phenomenological proposals and with the results believed to be exact in the case of a homogeneous two-dimensional lattice.

  • ISSN: 03054470
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1088/0305-4470/20/5/030
  • Document Type: Article

  Elezovic, S.; Dept. of Phys. and Meteorol., Fac. of Natural and Math. Sci., Yugoslavia
© Copyright 2007 Elsevier B.V., All rights reserved.

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