Self-avoiding walks on finitely ramified fractals

D. Ben-Avraham; S. Havlin

doi:10.1103/physreva.29.2309

Self-avoiding walks on finitely ramified fractals

D. Ben-Avraham
, S. Havlin

Department of Physics - at Bar-Ilan University

Bar-Ilan University
National Institutes of Health

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

30 Scopus citations

Abstract

We present an exact real-space renormalization-group technique for self-avoiding walks performed on finitely ramified fractals. The exponent 1ν of the walks is found to be strongly affected by the geometry of the particular fractal. Also, the excluded volume is shown to be relevant for some fractals and irrelevant for others. For the Sierpinski gasket 1ν is shown to be equal to the fractal dimensionality of the gasket.

Original language	English
Pages (from-to)	2309-2311
Number of pages	3
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	29
Issue number	4
DOIs	https://doi.org/10.1103/physreva.29.2309
State	Published - 1984

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10.1103/physreva.29.2309

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AB - We present an exact real-space renormalization-group technique for self-avoiding walks performed on finitely ramified fractals. The exponent 1ν of the walks is found to be strongly affected by the geometry of the particular fractal. Also, the excluded volume is shown to be relevant for some fractals and irrelevant for others. For the Sierpinski gasket 1ν is shown to be equal to the fractal dimensionality of the gasket.

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Self-avoiding walks on finitely ramified fractals

Abstract

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