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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Autor principal:	Mininni, Pablo Daniel
Publicado:	2016
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n4_p_ClarkdiLeoni 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	paper:paper_24699926_v94_n4_p_ClarkdiLeoni
record_format	dspace
spelling	paper:paper_24699926_v94_n4_p_ClarkdiLeoni2023-06-08T16:36:02Z Helicity, topology, and Kelvin waves in reconnecting quantum knots Mininni, Pablo Daniel 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n4_p_ClarkdiLeoni 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 Mininni, Pablo Daniel 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.
author	Mininni, Pablo Daniel
author_facet	Mininni, Pablo Daniel
author_sort	Mininni, Pablo Daniel
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
publishDate	2016
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n4_p_ClarkdiLeoni http://hdl.handle.net/20.500.12110/paper_24699926_v94_n4_p_ClarkdiLeoni
work_keys_str_mv	AT mininnipablodaniel helicitytopologyandkelvinwavesinreconnectingquantumknots
_version_	1768545246860279808

Helicity, topology, and Kelvin waves in reconnecting quantum knots

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