ArticleProceedings of the National Academy of Sciences of the United States of America2014
Helicity conservation by flow across scales in reconnecting vortex links and knots.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Designing turbulence with entangled vortices.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Influence of winding number on vortex knots dynamics.Scientific reports · 2019Article
- Crossover from interaction to driven regimes in quantum vortex reconnections.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Extreme and Topological Dissipative Solitons with Structured Matter and Structured Light.Nanomaterials (Basel, Switzerland) · 2019Review
- Reconnection scaling in quantum fluids.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Article
- Helicity conservation and twisted Seifert surfaces for superfluid vortices.Proceedings. Mathematical, physical, and engineering sciences · 2017Article
- Helicity within the vortex filament model.Scientific reports · 2016Article
- Conservation of writhe helicity under anti-parallel reconnection.Scientific reports · 2015Article
- Knot theory realizations in nematic colloids.Proceedings of the National Academy of Sciences of the United States of America · 2015Article
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5 authors.
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Abstract
The conjecture that helicity (or knottedness) is a fundamental conserved quantity has a rich history in fluid mechanics, but the nature of this conservation in the presence of dissipation has proven difficult to resolve. Making use of recent advances, we create vortex knots and links in viscous fluids and simulated superfluids and track their geometry through topology-changing reconnections. We find that the reassociation of vortex lines through a reconnection enables the transfer of helicity from links and knots to helical coils. This process is remarkably efficient, owing to the antiparallel orientation spontaneously adopted by the reconnecting vortices. Using a new method for quantifying the spatial helicity spectrum, we find that the reconnection process can be viewed as transferring helicity between scales, rather than dissipating it. We also infer the presence of geometric deformations that convert helical coils into even smaller scale twist, where it may ultimately be dissipated. Our results suggest that helicity conservation plays an important role in fluids and related fields, even in the presence of dissipation.
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