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Scaling of the Hosking integral in decaying magnetically dominated turbulence
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Shanghai Jiao Tong University, PR China.ORCID iD: 0000-0002-2991-5306
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Stockholm University, Faculty of Science, Department of Astronomy. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).ORCID iD: 0000-0002-2549-6861
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Stockholm University, Faculty of Science, Department of Astronomy. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC). Carnegie Mellon University, USA; Ilia State University, Georgia.ORCID iD: 0000-0002-7304-021X
Number of Authors: 32022 (English)In: Journal of Plasma Physics, ISSN 0022-3778, E-ISSN 1469-7807, Vol. 88, no 6, article id 905880602Article in journal (Refereed) Published
Abstract [en]

The Saffman helicity invariant of Hosking & Schekochihin (Phys. Rev. X, vol. 11, issue 4, 2021, 041005), which we here call the Hosking integral, has emerged as an important quantity that may govern the decay properties of magnetically dominated non-helical turbulence. Using a range of different computational methods, we confirm that this quantity is indeed gauge invariant and nearly perfectly conserved in the limit of large Lundquist numbers. For direct numerical simulations with ordinary viscosity and magnetic diffusivity operators, we find that the solution develops in a nearly self-similar fashion. In a diagram quantifying the instantaneous decay coefficients of magnetic energy and integral scale, we find that the solution evolves along a line that is indeed suggestive of the governing role of the Hosking integral. The solution settles near a line in this diagram that is expected for a self-similar evolution of the magnetic energy spectrum. The solution will settle in a slightly different position when the magnetic diffusivity decreases with time, which would be compatible with the decay being governed by the reconnection time scale rather than the Alfven time.

Place, publisher, year, edition, pages
2022. Vol. 88, no 6, article id 905880602
Keywords [en]
astrophysical plasmas, plasma simulation, plasma nonlinear phenomena
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:su:diva-212436DOI: 10.1017/S002237782200109XISI: 000880189000001Scopus ID: 2-s2.0-85141916273OAI: oai:DiVA.org:su-212436DiVA, id: diva2:1718534
Available from: 2022-12-13 Created: 2022-12-13 Last updated: 2022-12-13Bibliographically approved

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Zhou, HongzheSharma, RamkishorBrandenburg, Axel

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Nordic Institute for Theoretical Physics (Nordita)Department of AstronomyThe Oskar Klein Centre for Cosmo Particle Physics (OKC)
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Journal of Plasma Physics
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