Study of Monte Carlo methods for generating self-avoiding walks

C. Brender, D. Ben-Avraham, S. Havlin

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The concept of fractal dimensionality is used to study different statistical methods for generating self-avoiding walks (SAWs). The reliability of SAWs traced by the enrichment technique and the dynamic Monte Carlo technique is verified. The number of dynamic cycles which represent a single independent SAW of N0 steps is found to be about 0.1 N03. We show that the enrichment process for generating SAWs may be presented as a critical phenomenon.

Original languageEnglish
Pages (from-to)661-670
Number of pages10
JournalJournal of Statistical Physics
Issue number3
StatePublished - Jun 1983


  • Fractal dimensionality
  • critical phenomena
  • dynamic Monte Carlo
  • enrichment Monte Carlo
  • self-avoiding walks


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