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Fractals meet fractals: self-avoiding random walks on percolation clusters

✍ Scribed by Viktoria Blavatska; Wolfhard Janke

Publisher: Elsevier
Year: 2010
Tongue: English
Weight: 283 KB
Volume: 3
Category: Article
ISSN: 1875-3892
DOI: 10.1016/j.phpro.2010.01.202

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✦ Synopsis

The scaling behavior of linear polymers in disordered media, modelled by self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by numerical simulations. We apply the pruned-enriched Rosenbluth chain-growth method (PERM). Our numerical results yield estimates of critical exponents, governing the scaling laws of disorder averages of the configurational properties of SAWs, and clearly indicate a multifractal spectrum which emerges when two fractals meet each other.

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