Work

Fractals meet fractals: self-avoiding random walks on percolation clusters

Year: 2010

Type: article

Abstract: The scaling behavior of linear polymers in disordered media, modelled by self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by numerical simulations. We apply the pruned-enriched Rosenbluth chain-growth method (PERM). Our numerical results yield estimates of critical exponents, governing the scaling laws of disorder averages of the configurational properties of SAWs, and clearly indicate a multifractal spectrum which emerges when two fractals meet each other.

Source: Physics Procedia

DOI: 10.1016/j.phpro.2010.01.202

Authors: Viktoria Blavatska, Wolfhard 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: diamond

OpenAlex ID: W2006873365

FWCI: 1.187

Cites: 37

Cited by: 10

Related to: 10