Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-07-23
Phys. Rev. Lett. 101, (2008) 125701
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages
Scientific paper
10.1103/PhysRevLett.101.125701
We consider self-avoiding walks (SAWs) on the backbone of percolation clusters in space dimensions d=2, 3, 4. Applying numerical simulations, we show that the whole multifractal spectrum of singularities emerges in exploring the peculiarities of the model. We obtain estimates for the set of critical exponents, that govern scaling laws of higher moments of the distribution of percolation cluster sites visited by SAWs, in a good correspondence with an appropriately summed field-theoretical \varepsilon=6-d-expansion (H.-K. Janssen and O. Stenull, Phys. Rev. E 75, 020801(R) (2007)).
Blavatska Viktoria
Janke Wolfhard
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