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- W1985289912 abstract "We discuss the effect of confinement on the topology and geometry of tightly confined random walks and polygons. Here the walks and polygons are confined in a sphere of radius R ≥ 1/2 and the polygons are equilateral with n edges of unit length. We illustrate numerically that for a fixed length of random polygons the knotting probability increases to one as the radius decreases to 1/2. We also demonstrate that for random polygons (walks) the curvature increases to πn (π(n – 1)) as the radius approaches 1/2 and that the torsion decreases to ≈ πn/3 (≈ π(n – 1)/3). In addition we show the effect of length and confinement on the average crossing number of a random polygon." @default.
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- W1985289912 date "2014-10-20" @default.
- W1985289912 modified "2023-10-16" @default.
- W1985289912 title "Random walks and polygons in tight confinement" @default.
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- W1985289912 doi "https://doi.org/10.1088/1742-6596/544/1/012017" @default.
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