The average shape of the closed trefoil knot fluctuating on a floppy rope

  • Marcin Modlinski
  • Sylwester Przybyl
  • Piotr Pieranski
Open Access
Regular Article


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.

Graphical abstract


Soft Matter: Polymers and Polyelectrolytes 


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Copyright information

© The Author(s) 2013

Authors and Affiliations

  • Marcin Modlinski
    • 1
  • Sylwester Przybyl
    • 1
  • Piotr Pieranski
    • 1
  1. 1.Department of Computational PhysicsPoznan University of TechnologyPoznanPoland

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