Scaling behavior of self-avoiding walks on percolation clusters

Details Scaling behavior of self-avoiding walks on percolation clusters Scaling behavior of self-avoiding walks on percolation clusters

2008-04-18

arxiv.org/abs/0804.2988v2

Europhys. Letters 82 (2008) p. 66006

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages

Scientific paper

10.1209/0295-5075/82/66006

The scaling behavior of self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by Monte Carlo simulations. We apply the pruned-enriched Rosenbluth chain-growth method (PERM). Our numerical results bring about the estimates of critical exponents, governing the scaling laws of disorder averages of the end-to-end distance of SAW configurations. The effects of finite-size scaling are discussed as well.

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