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arxiv: 1504.02085 · v2 · pith:V4KGX7RRnew · submitted 2015-04-08 · ❄️ cond-mat.stat-mech · math-ph· math.MP

Three-dimensional terminally attached self-avoiding walks and bridges

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