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

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

2010-01-11

arxiv.org/abs/1001.1683v1

Physics Procedia, Volume 3, Issue 3, P. 1431-1435 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, to appear in Proceedings of "Computer Simulations in Condensed Matter Physics XXII", eds. D.P. Landau, S.P. Lewis, an

Scientific paper

10.1016/j.phpro.2010.01.202

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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