Walking on fractals: diffusion and self-avoiding walks on percolation clusters

Details Walking on fractals: diffusion and self-avoiding walks on percolation clusters Walking on fractals: diffusion and self-avoiding walks on percolation clusters

2008-07-24

arxiv.org/abs/0807.3862v1

J. Phys. A: Mathematical and General, 42 (2009) 015001

Physics

Condensed Matter

Disordered Systems and Neural Networks

21 pages

Scientific paper

10.1088/1751-8113/42/1/015001

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.

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