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Scaling behavior of self-avoiding walks on percolation clusters

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Published 11 June 2008 Europhysics Letters Association
, , Citation V. Blavatska and W. Janke 2008 EPL 82 66006 DOI 10.1209/0295-5075/82/66006

0295-5075/82/6/66006

Abstract

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.

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10.1209/0295-5075/82/66006