Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On the shear-current effect: toward understanding why theories and simulations have mutually and separately conflicted
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0002-2991-5306
Number of Authors: 22021 (English)In: Monthly notices of the Royal Astronomical Society, ISSN 0035-8711, E-ISSN 1365-2966, Vol. 507, no 4, p. 5732-5746Article in journal (Refereed) Published
Abstract [en]

The shear-current effect (SCE) of mean-field dynamo theory refers to the combination of a shear flow and a turbulent coefficient β21 with a favourable negative sign for exponential mean-field growth, rather than positive for diffusion. There have been long-standing disagreements among theoretical calculations and comparisons of theory with numerical experiments as to the sign of kinetic (⁠βu21⁠) and magnetic (⁠βb21⁠) contributions. To resolve these discrepancies, we combine an analytical approach with simulations, and show that unlike βb21⁠, the kinetic SCE βu21 has a strong dependence on the kinetic energy spectral index and can transit from positive to negative values at O(10) Reynolds numbers if the spectrum is not too steep. Conversely, βb21 is always negative regardless of the spectral index and Reynolds numbers. For very steep energy spectra, the positive βu21 can dominate even at energy equipartition urms ≃ brms, resulting in a positive total β21 even though βb21<0⁠. Our findings bridge the gap between the seemingly contradictory results from the second-order-correlation approximation versus the spectral-τ closure, for which opposite signs for βu21 have been reported, with the same sign for βb21<0⁠. The results also offer an explanation for the simulations that find βu21>0 and an inconclusive overall sign of β21 for O(10) Reynolds numbers. The transient behaviour of βu21 is demonstrated using the kinematic test-field method. We compute dynamo growth rates for cases with or without rotation, and discuss opportunities for further work.

Place, publisher, year, edition, pages
2021. Vol. 507, no 4, p. 5732-5746
Keywords [en]
dynamo, magnetic fields, MHD, turbulence
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:su:diva-198645DOI: 10.1093/mnras/stab2469ISI: 000702151300074Scopus ID: 2-s2.0-85116972587OAI: oai:DiVA.org:su-198645DiVA, id: diva2:1611248
Available from: 2021-11-13 Created: 2021-11-13 Last updated: 2022-05-03Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Zhou, Hongzhe

Search in DiVA

By author/editor
Zhou, Hongzhe
By organisation
Nordic Institute for Theoretical Physics (Nordita)
In the same journal
Monthly notices of the Royal Astronomical Society
Astronomy, Astrophysics and Cosmology

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 23 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf