Fractals Meet Fractals: Self-Avoiding Random Walks on Percolation Clusters

V. Blavatska; W. Janke

doi:10.1016/j.phpro.2010.01.202

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arXiv · 1001.1683

Fractals Meet Fractals: Self-Avoiding Random Walks on Percolation Clusters

V. Blavatska·W. Janke

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Abstract

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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V. Blavatska, W. Janke. 2010-01-11. Fractals Meet Fractals: Self-Avoiding Random Walks on Percolation Clusters. https://doi.org/10.1016/j.phpro.2010.01.202

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