| Issue |
EPL
Volume 82, Number 6, June 2008
|
|
|---|---|---|
| Article Number | 66006 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/82/66006 | |
| Published online | 11 June 2008 | |
Scaling behavior of self-avoiding walks on percolation clusters
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
Corresponding authors: blavatska@itp.uni-leipzig.de janke@itp.uni-leipzig.de
Received:
14
March
2008
Accepted:
15
April
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: 64.60.al – Fractal and multifractal systems / 87.15.A- – Theory, modeling, and computer simulation / 64.60.ah – Percolation
© EPLA, 2008
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