Fractals Meet Fractals: Self-Avoiding Random Walks on Percolation Clusters
Disordered Systems and Neural Networks
2010-04-13 v1 Soft Condensed Matter
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.
Keywords
Cite
@article{arxiv.1001.1683,
title = {Fractals Meet Fractals: Self-Avoiding Random Walks on Percolation Clusters},
author = {V. Blavatska and W. Janke},
journal= {arXiv preprint arXiv:1001.1683},
year = {2010}
}
Comments
5 pages, to appear in Proceedings of "Computer Simulations in Condensed Matter Physics XXII", eds. D.P. Landau, S.P. Lewis, and H.-B. Schumltler, The Procedia: Physics Procedia (in print)