ArticleScientific reports2016
Knots cascade detected by a monotonically decreasing sequence of values.
Article in Scientific reports, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Influence of winding number on vortex knots dynamics.Scientific reports · 2019Article
- Knot spectrum of turbulence.Scientific reports · 2019Article
- Article
- Helicity conservation and twisted Seifert surfaces for superfluid vortices.Proceedings. Mathematical, physical, and engineering sciences · 2017Article
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2 authors.
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Abstract
Due to reconnection or recombination of neighboring strands superfluid vortex knots and DNA plasmid torus knots and links are found to undergo an almost identical cascade process, that tend to reduce topological complexity by stepwise unlinking. Here, by using the HOMFLYPT polynomial recently introduced for fluid knots, we prove that under the assumption that topological complexity decreases by stepwise unlinking this cascade process follows a path detected by a unique, monotonically decreasing sequence of numerical values. This result holds true for any sequence of standardly embedded torus knots T(2, 2n + 1) and torus links T(2, 2n). By this result we demonstrate that the computation of this adapted HOMFLYPT polynomial provides a powerful tool to measure topological complexity of various physical systems.
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