Work

Multifractality of Self-Avoiding Walks on Percolation Clusters

Year: 2008

Type: article

Abstract: We consider self-avoiding walks 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 self-avoiding walks, in a good correspondence with an appropriately summed field-theoretical epsilon=6-d expansion [H.-K. Janssen and O. Stenull, Phys. Rev. E 75, 020801(R) (2007)10.1103/PhysRevE.75.020801].

Source: Physical Review Letters

DOI: 10.1103/physrevlett.101.125701

Authors: Viktoria Blavatska, Wolfhard Janke

Institutions: 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: W2076765950

FWCI: 2.359

Cites: 57

Cited by: 28

Related to: 10