Topological mechanics of knots and tangles
Vishal P. Patil, Joseph D. Sandt, Mathias Kolle, Jörn Dunkel
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Source: Crossref
Published: Jan 3, 2020
DOI: 10.1126/science.aaz0135
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It's knot what you know Why is it that some knots seem to hold tight while others readily slip apart? Patil et al. develop a theoretical analysis of the stability of knots and find links between topological parameters (twist charge, crossing numbers, handedness) and mechanical stability. The theory is confirmed using simulations and experiments on color-changing fibers that optically show localized stress differences in different parts of the knot as the two strands are pulled apart. The authors show why some common knots slip easily and untie, whereas others hold tight. Science , this issue p. 71
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