Self-avoiding walks on fractal spaces : exact results and Flory approximation
نویسندگان
چکیده
2014 Self-avoiding walks (SAW) explore the backbone of a fractal lattice, while random walks explore the full lattice. We show the existence of an intrinsic exponent for SAW and examine a simple Flory approximation that uses the spectral dimension of the backbone. Exact results for various fractal lattices show that this approximation is not very satisfactory and that properties of SAW depend on other intrinsic aspects of the fractal. Some remarks are presented for SAW on percolation clusters. J. Physique 45 (1984) 389-394 MARS 1984, Classification Physics Abstracts 05.50 75.40
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