Walking on fractals: diffusion and self-avoiding walks on percolation clusters
Disordered Systems and Neural Networks
2009-11-13 v1 Soft Condensed Matter
Abstract
We consider random walks (RWs) and self-avoiding walks (SAWs) on disordered lattices directly at the percolation threshold. Applying numerical simulations, we study the scaling behavior of the models on the incipient percolation cluster in space dimensions d=2, 3, 4. Our analysis yields estimates of universal exponents, governing the scaling laws for configurational properties of RWs and SAWs.
Cite
@article{arxiv.0807.3862,
title = {Walking on fractals: diffusion and self-avoiding walks on percolation clusters},
author = {Viktoria Blavatska and Wolfhard Janke},
journal= {arXiv preprint arXiv:0807.3862},
year = {2009}
}
Comments
21 pages