The European Physical Journal E

, Volume 6, Issue 2, pp 117–121 | Cite as

Quasi-quantization of writhe in ideal knots

  • P. Pierański
  • S. Przybył

Abstract:

The values of writhe of the tightest conformations, found by the SONO algorithm, of all alternating prime knots with up to 10 crossings are analysed. The distribution of the writhe values is shown to be concentrated around the equally spaced levels. The “writhe quantum” is shown to be close to the rational 4/7 value. The deviation of the writhe values from the n(4/7) writhe levels scheme is analysed quantitatively.

PACS. 87.16.Ac Subcellular structure and processes: Theory and modeling; computer simulation – 02.10.Kn Knot theory 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2001

Authors and Affiliations

  • P. Pierański
    • 1
  • S. Przybył
    • 1
  1. 1.Poznań University of Technology, Nieszawska 13, 60 965 Poznań, PolandPL

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