Scaling behavior of self-avoiding walks on percolation clustersV. 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.
64.60.al - Fractal and multifractal systems.
87.15.A- - Theory, modeling, and computer simulation.
64.60.ah - Percolation.
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