The average shape of the closed trefoil knot fluctuating on a floppy rope
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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.
KeywordsSoft Matter: Polymers and Polyelectrolytes
- 4.J. Smutny Global radii of curvature, and the biarc approximation of space curves: In pursuit of ideal knot shapes, PhD thesis, École Polytechnique Fédérale de Lausanne (2004).Google Scholar