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

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

2001-08-31

arxiv.org/abs/cond-mat/0108538v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/34/43/102

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 $\nu=0.5874(2)$ is in accord with the best previous results from simulations.

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