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- W1975996985 abstract "The author studies self-avoiding walks (SAWs) on percolation clusters. A scaling function representation for R, the mean end-to-end distance, is proposed which describes a crossover from ordinary SAWs to SAWs on fractals. He distinguishes between SAWs on a single cluster for which R approximately Nx, where x= nu 1, and SAWs on all clusters for which R approximately Nz, where z= nu 2 and N is the number of monomers in the walk. He estimates nu 1(d=2) approximately=1.285 and the correction-to-scaling exponent Omega (d=2) approximately=1.3, and nu 1(d=3) approximately=1.38. Two plausible generalisations of the Flory (1953) approximation for nu 1 are investigated and it is argued that none of them provides a satisfactory approximation for nu 1 at all dimensions." @default.
- W1975996985 created "2016-06-24" @default.
- W1975996985 creator A5087150520 @default.
- W1975996985 date "1984-05-11" @default.
- W1975996985 modified "2023-10-16" @default.
- W1975996985 title "Self-avoiding walks on percolation clusters" @default.
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- W1975996985 doi "https://doi.org/10.1088/0305-4470/17/7/002" @default.
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