Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions
classification
❄️ cond-mat.stat-mech
math-phmath.MP
keywords
self-avoidingwalksresultsscalingsimulationstrailsaccordbest
read the original 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 $\nu=0.5874(2)$ is in accord with the best previous results from simulations.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.