Self-avoiding walks on diluted networks

Yigal Meir, A. Brooks Harris

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


It is shown that, contrary to recent suggestions, the exponent, characterizing self-avoiding walks in a diluted lattice at the percolation threshold, is determined by a fixed point, different from the pure latttice one. The full phase diagram of this system is obtained by a real-space renormalization group and five nontrivial fixed points are identified. A field-theoretical treatment yields =(1/2+/42, with =6-d. All these results are supported by exact enumeration analysis.

Original languageEnglish
Pages (from-to)2819-2822
Number of pages4
JournalPhysical Review Letters
Issue number26
StatePublished - 1 Jan 1989
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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