FIXED-SCALE TRANSFORMATION FOR DIRECTED PERCOLATION


ERZAN A., PIETRONERO L.

EUROPHYSICS LETTERS, vol.20, no.7, pp.595-600, 1992 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 7
  • Publication Date: 1992
  • Doi Number: 10.1209/0295-5075/20/7/004
  • Journal Name: EUROPHYSICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.595-600
  • Istanbul Technical University Affiliated: No

Abstract

The fixed-scale transformation approach to fractal growth is applied to the problem of directed percolation in two dimensions. We find, for the fractal dimension of transverse sections of the incipient infinite cluster, d(perpendicular-to) = 0.747, in very close agreement with the best series results which give d(perpendicular-to) = 0.748.