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Inverse cascading for initial magnetohydrodynamic turbulence spectra between Saffman and Batchelor
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. The Oskar Klein Centre, Department of Astronomy, Stockholm University, AlbaNova, SE-10691 Stockholm, Sweden; McWilliams Center for Cosmology & Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA; School of Natural Sciences and Medicine, Ilia State University, 3-5 Cholokashvili Avenue, 0194 Tbilisi, Georgia, 3-5 Cholokashvili Avenue.ORCID iD: 0000-0002-7304-021X
Nordita SU; The Oskar Klein Centre, Department of Astronomy, Stockholm University, AlbaNova, SE-10691 Stockholm, Sweden.
Physics Department, Arizona State University, Tempe, AZ 85287, USA; Département de Physique Théorique and Centre for Astroparticle Physics, Université de Genève, 24 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland, 24 quai Ernest-Ansermet.
2023 (English)In: Journal of Plasma Physics, ISSN 0022-3778, E-ISSN 1469-7807, Vol. 89, no 6, article id 905890606Article in journal (Refereed) Published
Abstract [en]

In decaying magnetohydrodynamic (MHD) turbulence with a strong magnetic field, the spectral magnetic energy density is known to increase with time at small wavenumbers, provided the spectrum at low is sufficiently steep. This process is called inverse cascading and occurs for an initial Batchelor spectrum, where the magnetic energy per linear wavenumber interval increases like. For an initial Saffman spectrum that is proportional to, however, inverse cascading has not been found in the past. We study here the case of an intermediate spectrum, which may be relevant for magnetogenesis in the early Universe during the electroweak epoch. This case is not well understood in view of the standard Taylor expansion of the magnetic energy spectrum for small. Using high resolution MHD simulations, we show that, also in this case, there is inverse cascading with a strength just as expected from the conservation of the Hosking integral, which governs the decay of an initial Batchelor spectrum. Even for shallower spectra with spectral index 3/2$, our simulations suggest a spectral increase at small with time proportional to. The critical spectral index of is related to the slope of the spectral envelope in the Hosking phenomenology. Our simulations with mesh points now suggest inverse cascading even for an initial Saffman spectrum.

Place, publisher, year, edition, pages
Cambridge University Press (CUP) , 2023. Vol. 89, no 6, article id 905890606
Keywords [en]
astrophysical plasmas
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:kth:diva-341591DOI: 10.1017/S0022377823001253ISI: 001113341700001Scopus ID: 2-s2.0-85179583593OAI: oai:DiVA.org:kth-341591DiVA, id: diva2:1822641
Note

QC 20231227

Available from: 2023-12-27 Created: 2023-12-27 Last updated: 2023-12-27Bibliographically approved

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Brandenburg, Axel

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