Volume 82, Number 6, June 2008
Article Number 66006
Number of page(s) 6
Section Condensed Matter: Structural, Mechanical and Thermal Properties
Published online 11 June 2008
EPL, 82 (2008) 66006
DOI: 10.1209/0295-5075/82/66006

Scaling behavior of self-avoiding walks on percolation clusters

V. Blavatska1, 2 and W. Janke1

1  Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig - Postfach 100920, 04009 Leipzig, Germany, EU
2  Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine - 79011 Lviv, Ukraine

received 14 March 2008; accepted in final form 15 April 2008; published June 2008
published online 11 June 2008

The scaling behavior of self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by Monte Carlo simulations. We apply the pruned-enriched Rosenbluth chain growth method (PERM). Our numerical results bring about the estimates of critical exponents, governing the scaling laws of disorder averages of the end-to-end distance of SAW configurations. The effects of finite-size scaling are discussed as well.

PACS - Fractal and multifractal systems.
87.15.A- - Theory, modeling, and computer simulation.
64.60.ah - Percolation.

© EPLA 2008