Work

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

Year: 2008

Type: article

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.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/42/1/015001

Authors: V Blavatska, W Janke

Institutions: National Academy of Sciences of Ukraine, Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Leipzig University

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2162875386

FWCI: 1.572

Cites: 79

Cited by: 28

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