Abstract
The average shape of the trefoil knot tied on a floppy, hard rope subject to thermal fluctuations has been determined. The fluctuations of the shape of knots were performed by random bending. As a result of the changing shape procedure large sets of deformed conformations of the initial knot were obtained. Afterwards, these sets were subject to the shape-fitting procedure. It has been found that the conformation is different from the ideal conformation of the knot.
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Modlinski, M., Przybyl, S. & Pieranski, P. The average shape of the closed trefoil knot fluctuating on a floppy rope. Eur. Phys. J. E 36, 47 (2013). https://doi.org/10.1140/epje/i2013-13047-6
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DOI: https://doi.org/10.1140/epje/i2013-13047-6