Study of Monte Carlo methods for generating self-avoiding walks

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

doi:10.1007/bf01019503

Study of Monte Carlo methods for generating self-avoiding walks

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

Department of Physics - at Bar-Ilan University

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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 language	English
Pages (from-to)	661-670
Number of pages	10
Journal	Journal of Statistical Physics
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/bf01019503
State	Published - Jun 1983

Keywords

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

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10.1007/bf01019503

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Study of Monte Carlo methods for generating self-avoiding walks

Abstract

Keywords

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