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dc.contributor.authorLund, K.
dc.contributor.authorJardine, M.
dc.contributor.authorLehmann, L. T.
dc.contributor.authorMackay, D. H.
dc.contributor.authorVidotto, A. A.
dc.contributor.authorDonati, J-F
dc.contributor.authorFares, R.
dc.contributor.authorFolsom, C. P.
dc.contributor.authorJeffers, S.
dc.contributor.authorMarsden, S. C.
dc.contributor.authorMorin, J.
dc.contributor.authorPetit, P.
dc.identifier.citationLund , K , Jardine , M , Lehmann , L T , Mackay , D H , See , , Vidotto , A A , Donati , J-F , Fares , R , Folsom , C P , Jeffers , S , Marsden , S C , Morin , J & Petit , P 2020 , ' Measuring stellar magnetic helicity density ' , Monthly Notices of the Royal Astronomical Society , vol. 493 , no. 1 , pp. 1003-1012 .
dc.identifier.otherPURE: 267051254
dc.identifier.otherPURE UUID: cdeacca0-681c-4803-a65e-1cac4cb42409
dc.identifier.otherWOS: 000518156100072
dc.identifier.otherORCID: /0000-0002-1466-5236/work/71221220
dc.identifier.otherORCID: /0000-0001-6065-8531/work/71221415
dc.identifier.otherScopus: 85090198259
dc.descriptionKL acknowledges financial support from the Carnegie Trust. MJ acknowledges support from STFC consolidated grant no. ST/R000824/1. LTL acknowledges support from the Scottish Universities Physics Alliance (SUPA) prize studentship and the University of St Andrews Higgs studentship. DHM would like to thank both the UK STFC and the ERC (Synergy grant: WHOLE Sun, grant agreement no. 810218) for financial support. VS acknowledges funding from the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme (grant agreement no. 682393, AWESoMeStars). JFD and AAV acknowledge funding from the European Research Council (ERC) under the H2020 research and innovation programme (grant agreement nos. 740651, NewWorlds, and 817540, ASTROFLOW).en
dc.description.abstractHelicity is a fundamental property of a magnetic field but to date it has only been possible to observe its evolution in one star – the Sun. In this paper, we provide a simple technique for mapping the large-scale helicity density across the surface of any star using only observable quantities: the poloidal and toroidal magnetic field components (which can be determined from Zeeman–Doppler imaging) and the stellar radius. We use a sample of 51 stars across a mass range of 0.1–1.34 M⊙ to show how the helicity density relates to stellar mass, Rossby number, magnetic energy, and age. We find that the large-scale helicity density increases with decreasing Rossby number Ro, peaking at Ro ≃ 0.1, with a saturation or decrease below that. For both fully and partially convective stars, we find that the mean absolute helicity density scales with the mean squared toroidal magnetic flux density according to the power law: |⟨h⟩| ∝ ⟨Btor2⟩0.86±0.04⁠. The scatter in this relation is consistent with the variation across a solar cycle, which we compute using simulations and observations across solar cycles 23 and 24, respectively. We find a significant decrease in helicity density with age.
dc.relation.ispartofMonthly Notices of the Royal Astronomical Societyen
dc.rightsCopyright © 2020 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the final published version of the work, which was originally published at
dc.subjectMethods: analyticalen
dc.subjectStars: magnetic fielden
dc.subjectSun: magnetic fieldsen
dc.subjectQB Astronomyen
dc.titleMeasuring stellar magnetic helicity densityen
dc.typeJournal articleen
dc.contributor.sponsorScience & Technology Facilities Councilen
dc.contributor.sponsorEuropean Research Councilen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.description.statusPeer revieweden

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