Helicity, topology, and Kelvin waves in reconnecting quantum knots

Helicity is a topological invariant that measures the linkage and knottedness of lines, tubes, and ribbons. As such, it has found myriads of applications in astrophysics, fluid dynamics, atmospheric sciences, and biology. In quantum flows, where topology-changing reconnection events are a staple, he...

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Autores principales: Clark di Leoni, P., Mininni, P.D., Brachet, M.E.
Formato: JOUR
Materias:
Astrophysics
Computation theory
Gravity waves
Quantum chemistry
Topology
Vorticity
Atmospheric science
Classical fluids
Complex motion
Kelvin waves
Quantum fluids
Quantum knots
Quantum vortex
Topological invariants
Vortex flow
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24699926_v94_n4_p_ClarkdiLeoni
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_24699926_v94_n4_p_ClarkdiLeoni
record_format dspace
spelling todo:paper_24699926_v94_n4_p_ClarkdiLeoni2023-10-03T16:41:32Z Helicity, topology, and Kelvin waves in reconnecting quantum knots Clark di Leoni, P. Mininni, P.D. Brachet, M.E. Astrophysics Computation theory Gravity waves Quantum chemistry Topology Vorticity Atmospheric science Classical fluids Complex motion Kelvin waves Quantum fluids Quantum knots Quantum vortex Topological invariants Vortex flow Helicity is a topological invariant that measures the linkage and knottedness of lines, tubes, and ribbons. As such, it has found myriads of applications in astrophysics, fluid dynamics, atmospheric sciences, and biology. In quantum flows, where topology-changing reconnection events are a staple, helicity appears as a key quantity to study. However, the usual definition of helicity is not well posed in quantum vortices, and its computation based on counting links and crossings of centerline vorticity can be downright impossible to apply in complex and turbulent scenarios. We present a definition of helicity which overcomes these problems and which gives the expected result in the large-scale limit. With it, we show that certain reconnection events can excite Kelvin waves and other complex motions of the centerline vorticity, which slowly deplete helicity as they interact nonlinearly, thus linking the theory of vortex knots with observations of quantum fluids. This process also results in the depletion of helicity in a fully turbulent quantum flow, in a way reminiscent of the decay of helicity in classical fluids. © 2016 American Physical Society. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24699926_v94_n4_p_ClarkdiLeoni
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Astrophysics
Computation theory
Gravity waves
Quantum chemistry
Topology
Vorticity
Atmospheric science
Classical fluids
Complex motion
Kelvin waves
Quantum fluids
Quantum knots
Quantum vortex
Topological invariants
Vortex flow
spellingShingle Astrophysics
Computation theory
Gravity waves
Quantum chemistry
Topology
Vorticity
Atmospheric science
Classical fluids
Complex motion
Kelvin waves
Quantum fluids
Quantum knots
Quantum vortex
Topological invariants
Vortex flow
Clark di Leoni, P.
Mininni, P.D.
Brachet, M.E.
Helicity, topology, and Kelvin waves in reconnecting quantum knots
topic_facet Astrophysics
Computation theory
Gravity waves
Quantum chemistry
Topology
Vorticity
Atmospheric science
Classical fluids
Complex motion
Kelvin waves
Quantum fluids
Quantum knots
Quantum vortex
Topological invariants
Vortex flow
description Helicity is a topological invariant that measures the linkage and knottedness of lines, tubes, and ribbons. As such, it has found myriads of applications in astrophysics, fluid dynamics, atmospheric sciences, and biology. In quantum flows, where topology-changing reconnection events are a staple, helicity appears as a key quantity to study. However, the usual definition of helicity is not well posed in quantum vortices, and its computation based on counting links and crossings of centerline vorticity can be downright impossible to apply in complex and turbulent scenarios. We present a definition of helicity which overcomes these problems and which gives the expected result in the large-scale limit. With it, we show that certain reconnection events can excite Kelvin waves and other complex motions of the centerline vorticity, which slowly deplete helicity as they interact nonlinearly, thus linking the theory of vortex knots with observations of quantum fluids. This process also results in the depletion of helicity in a fully turbulent quantum flow, in a way reminiscent of the decay of helicity in classical fluids. © 2016 American Physical Society.
format JOUR
author Clark di Leoni, P.
Mininni, P.D.
Brachet, M.E.
author_facet Clark di Leoni, P.
Mininni, P.D.
Brachet, M.E.
author_sort Clark di Leoni, P.
title Helicity, topology, and Kelvin waves in reconnecting quantum knots
title_short Helicity, topology, and Kelvin waves in reconnecting quantum knots
title_full Helicity, topology, and Kelvin waves in reconnecting quantum knots
title_fullStr Helicity, topology, and Kelvin waves in reconnecting quantum knots
title_full_unstemmed Helicity, topology, and Kelvin waves in reconnecting quantum knots
title_sort helicity, topology, and kelvin waves in reconnecting quantum knots
url http://hdl.handle.net/20.500.12110/paper_24699926_v94_n4_p_ClarkdiLeoni
work_keys_str_mv AT clarkdileonip helicitytopologyandkelvinwavesinreconnectingquantumknots
AT mininnipd helicitytopologyandkelvinwavesinreconnectingquantumknots
AT brachetme helicitytopologyandkelvinwavesinreconnectingquantumknots
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