Scaling behavior of self-avoiding walks on percolation clusters

@article{Blavatska2008ScalingBO,
  title={Scaling behavior of self-avoiding walks on percolation clusters},
  author={Viktoria Blavatska and Wolfhard Janke},
  journal={EPL},
  year={2008},
  volume={82},
  pages={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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