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Random knotting in very long off-lattice self-avoiding polygons

cond-mat.stat-mech · 2026-01-07 · conditional · novelty 7.0

Off-lattice simulations of self-avoiding polygons up to length 2^27 show that the number of prime knot summands follows a Poisson distribution with characteristic knotting length 656500 ± 2500, supporting knot localization and entropy conjectures.

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  • Random knotting in very long off-lattice self-avoiding polygons cond-mat.stat-mech · 2026-01-07 · conditional · none · ref 10

    Off-lattice simulations of self-avoiding polygons up to length 2^27 show that the number of prime knot summands follows a Poisson distribution with characteristic knotting length 656500 ± 2500, supporting knot localization and entropy conjectures.