Three-dimensional terminally attached self-avoiding walks and bridges

Abstract

We study terminally attached self-avoiding walks and bridges on the simple cubic lattice, both by series analysis and Monte Carlo methods. We provide strong numerical evidence supporting a scaling relation between self-avoiding walks, bridges, and terminally attached self-avoiding walks, and posit that a corresponding amplitude ratio is a universal quantity.

26 pages, 11 figures

References in corpus (3)

• Accurate estimate of the critical exponent $\nu$ for self-avoiding walks via a fast implementation of the pivot algorithm
• Compressed self-avoiding walks, bridges and polygons
• Conformal invariance predictions for the three-dimensional self-avoiding walk

Cited by in corpus (10)

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• Phase transitions in single macromolecules: loop-stretch transition versus loop adsorption transition in end-grafted polymer chains
• Square lattice self-avoiding walks and biased differential approximants
• Partition and generating function zeros in adsorbing self-avoiding walks
• New scaling laws for self-avoiding walks: bridges and worms
• Statistical Mechanics of Confined Polymer Networks
• Winding angles of long lattice walks
• Entropic exponents of grafted lattices stars