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arXiv · 1504.02085

Three-dimensional terminally attached self-avoiding walks and bridges

Nathan Clisby·Andrew R. Conway·Anthony J. Guttmann
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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.

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Nathan Clisby, Andrew R. Conway, Anthony J. Guttmann. 2015-04-08. Three-dimensional terminally attached self-avoiding walks and bridges. https://doi.org/10.1088/1751-8113/49/1/015004

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