Percolation on fractal lattices

S. Havlin; D. Ben-Avraham; D. Movshovitz

doi:10.1103/physrevlett.51.2347

Percolation on fractal lattices

S. Havlin
, D. Ben-Avraham
, D. Movshovitz

Department of Physics - at Bar-Ilan University

National Institutes of Health
Bar-Ilan University

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

24 Scopus citations

Abstract

Numerical evidence of a percolation phase transition on infinitely ramified exact fractals is presented. The percolation transition is studied by a real-space renormalization-group technique on a family of exact fractal lattices with fractal dimensionality d̄ between 1 and 2. The critical exponents for percolation depend strongly on the geometry of the fractals.

Original language	English
Pages (from-to)	2347-2350
Number of pages	4
Journal	Physical Review Letters
Volume	51
Issue number	26
DOIs	https://doi.org/10.1103/physrevlett.51.2347
State	Published - 1983

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abstract = "Numerical evidence of a percolation phase transition on infinitely ramified exact fractals is presented. The percolation transition is studied by a real-space renormalization-group technique on a family of exact fractal lattices with fractal dimensionality {\=d} between 1 and 2. The critical exponents for percolation depend strongly on the geometry of the fractals.",

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AB - Numerical evidence of a percolation phase transition on infinitely ramified exact fractals is presented. The percolation transition is studied by a real-space renormalization-group technique on a family of exact fractal lattices with fractal dimensionality d̄ between 1 and 2. The critical exponents for percolation depend strongly on the geometry of the fractals.

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Percolation on fractal lattices

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