Helicity within the vortex filament model

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Hänninen, Risto
dc.contributor.author Hietala, Niklas
dc.contributor.author Salman, Hayder
dc.date.accessioned 2016-12-21T07:26:41Z
dc.date.issued 2016-11-24
dc.identifier.citation Hänninen , R , Hietala , N & Salman , H 2016 , ' Helicity within the vortex filament model ' SCIENTIFIC REPORTS , vol 6 , 37571 . DOI: 10.1038/srep37571 en
dc.identifier.issn 2045-2322
dc.identifier.other PURE UUID: b8e7df1e-72c8-48fa-9201-1665e39e844c
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/helicity-within-the-vortex-filament-model(b8e7df1e-72c8-48fa-9201-1665e39e844c).html
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/9771341/srep37571.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/23846
dc.description.abstract Kinetic helicity is one of the invariants of the Euler equations that is associated with the topology of vortex lines within the fluid. In superfluids, the vorticity is concentrated along vortex filaments. In this setting, helicity would be expected to acquire its simplest form. However, the lack of a core structure for vortex filaments appears to result in a helicity that does not retain its key attribute as a quadratic invariant. By defining a spanwise vector to the vortex through the use of a Seifert framing, we are able to introduce twist and henceforth recover the key properties of helicity. We present several examples for calculating internal twist to illustrate why the centreline helicity alone will lead to ambiguous results if a twist contribution is not introduced. Our choice of the spanwise vector can be expressed in terms of the tangential component of velocity along the filament. Since the tangential velocity does not alter the configuration of the vortex at later times, we are able to recover a similar equation for the internal twist angle to that of classical vortex tubes. Our results allow us to explain how a quasi-classical limit of helicity emerges from helicity considerations for individual superfluid vortex filaments. en
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries SCIENTIFIC REPORTS en
dc.relation.ispartofseries Volume 6 en
dc.rights openAccess en
dc.subject.other 114 Physical sciences en
dc.title Helicity within the vortex filament model en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Applied Physics
dc.contributor.department University of East Anglia
dc.subject.keyword 114 Physical sciences
dc.identifier.urn URN:NBN:fi:aalto-201612216023
dc.identifier.doi 10.1038/srep37571
dc.type.version publishedVersion

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