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arxiv: cond-mat/0108538 · v1 · submitted 2001-08-31 · ❄️ cond-mat.stat-mech · math-ph· math.MP

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

classification ❄️ cond-mat.stat-mech math-phmath.MP
keywords self-avoidingwalksresultsscalingsimulationstrailsaccordbest
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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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