Flory approximant for self-avoiding walks on fractals

Amnon Aharony*, A. Brooks Harris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Scopus citations

Abstract

A Flory approximant for the exponent describing the end-to-end distance of a self-avoiding walk (SAW) on fractals is derived. The approximant involves the fractal dimensionalities of the backbone and of the minimal path, and the exponent describing the resistance of the fractal. The approximant yields values which are very close to those available from exact and numerical calculations.

Original languageEnglish
Pages (from-to)1091-1097
Number of pages7
JournalJournal of Statistical Physics
Volume54
Issue number3-4
DOIs
StatePublished - Feb 1989

Keywords

  • Flory approximant
  • fractals
  • lattice animals
  • percolation
  • random walks
  • self-avoiding walks

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