ArticleScientific reports2015
Conservation of writhe helicity under anti-parallel reconnection.
Article in Scientific reports, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Spatiotemporal optical vortex reconnections of loop vortices.Nanophotonics (Berlin, Germany) · 2025Article
- Spatiotemporal optical vortex reconnections of multi-vortices.Scientific reports · 2024Article
- Geometric Predictors of Knotted and Linked Arcs.ACS polymers Au · 2022Article
- WASP: a software package for correctly characterizing the topological development of ribbon structures.Scientific reports · 2021Article
- 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
- Pathways of DNA unlinking: A story of stepwise simplification.Scientific reports · 2017Article
- Article
- Physical Links: defining and detecting inter-chain entanglement.Scientific reports · 2017Article
- Article
- Helicity within the vortex filament model.Scientific reports · 2016Article
- LassoProt: server to analyze biopolymers with lassos.Nucleic acids research · 2016Article
- Knots cascade detected by a monotonically decreasing sequence of values.Scientific reports · 2016Article
- Disentangling the triadic interactions in Navier-Stokes equations.The European physical journal. E, Soft matter · 2015Article
- Helicity conservation by flow across scales in reconnecting vortex links and knots.Proceedings of the National Academy of Sciences of the United States of America · 2014Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Reconnection is a fundamental event in many areas of science, from the interaction of vortices in classical and quantum fluids, and magnetic flux tubes in magnetohydrodynamics and plasma physics, to the recombination in polymer physics and DNA biology. By using fundamental results in topological fluid mechanics, the helicity of a flux tube can be calculated in terms of writhe and twist contributions. Here we show that the writhe is conserved under anti-parallel reconnection. Hence, for a pair of interacting flux tubes of equal flux, if the twist of the reconnected tube is the sum of the original twists of the interacting tubes, then helicity is conserved during reconnection. Thus, any deviation from helicity conservation is entirely due to the intrinsic twist inserted or deleted locally at the reconnection site. This result has important implications for helicity and energy considerations in various physical contexts.
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