Three-dimensional terminally attached self-avoiding walks and bridges Article Swipe

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scaling statistical physics monte carlo method self-avoiding walk lattice (music) terminally ill random walk mathematics physics statistics geometry medicine palliative care nursing acoustics

Nathan Clisby , Andrew Conway , A J Guttmann ·

YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.1088/1751-8113/49/1/015004 · OA: W1653494210

We study terminally attached self-avoiding walks (SAWs) 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 SAWs, bridges, and terminally attached SAWs, and posit that a corresponding amplitude ratio is a universal quantity.