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Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions

T. Prellberg
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Abstract

Motivated by recent claims of a proof that the length scale exponent for the end-to-end distance scaling of self-avoiding walks is precisely $7/12=0.5833...$, we present results of large-scale simulations of self-avoiding walks and self-avoiding trails with repulsive contact interactions on the hypercubic lattice. We find no evidence to support this claim; our estimate $ν=0.5874(2)$ is in accord with the best previous results from simulations.

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BibTeXRIS

T. Prellberg. 2001-08-31. Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions. https://doi.org/10.1088/0305-4470%2F34%2F43%2F102

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