Turbulent Regimes in Collisions of 3D Alfvén-wave Packets

Journal Article · Tue Nov 01 04:00:00 EDT 2022 · The Astrophysical Journal

DOI:https://doi.org/10.3847/1538-4357/ac93fe· OSTI ID:1899109

Cerri, Silvio Sergio ^[1]; Passot, Thierry ^[1]; Laveder, Dimitri ^[1]; Sulem, Pierre -Louis ^[1]; Kunz, Matthew W. ^[2]

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1. Universite Cote d'Azur, Nice (France); Centre National de la Recherche Scientifique (CNRS) (France)
2. Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Using three-dimensional gyrofluid simulations, we revisit the problem of Alfvén-wave (AW) collisions as building blocks of the Alfvénic turbulent cascade and their interplay with magnetic reconnection at magnetohydrodynamic (MHD) scales. Depending on the large-scale value of the nonlinearity parameter χ₀ (the ratio between the AW linear propagation time and nonlinear turnover time), different regimes are observed. For strong nonlinearities (χ₀ ~ 1), turbulence is consistent with a dynamically aligned, critically balanced cascade—fluctuations exhibit a scale-dependent alignment $$\sin {\theta }_{{k}_{\perp }}\propto {k}_{\perp }^{-1/4}$$, resulting in a $${k}_{\perp }^{-3/2}$$ spectrum and $${k}_{\parallel }\propto {k}_{\perp }^{1/2}$$ spectral anisotropy. At weaker nonlinearities (small χ₀), a spectral break marking the transition between a large-scale weak regime and a small-scale $${k}_{\perp }^{-11/5}$$ tearing-mediated range emerges, implying that dynamic alignment occurs also for weak nonlinearities. At χ₀ < 1 the alignment angle $${\theta }_{{k}_{\perp }}$$ shows a stronger scale dependence than in the χ₀ ~ 1 regime, namely $$\sin {\theta }_{{k}_{\perp }}\propto {k}_{\perp }^{-1/2}$$ at χ₀ ~ 0.5, and $$\sin {\theta }_{{k}_{\perp }}\propto {k}_{\perp }^{-1}$$ at χ₀ ~ 0.1. Dynamic alignment in the weak regime also modifies the large-scale spectrum, scaling approximately as $${k}_{\perp }^{-3/2}$$ for χ₀ ~ 0.5 and as $${k}_{\perp }^{-1}$$ for χ₀ ~ 0.1. A phenomenological theory of dynamically aligned turbulence at weak nonlinearities that can explain these spectra and the transition to the tearing-mediated regime is provided; at small χ₀, the strong scale dependence of the alignment angle combines with the increased lifetime of turbulent eddies to allow tearing to onset and mediate the cascade at scales that can be larger than those predicted for a critically balanced cascade by several orders of magnitude. Such a transition to tearing-mediated turbulence may even supplant the usual weak-to-strong transition.

• Research Organization: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC02-09CH11466
• OSTI ID: 1899109
• Journal Information: The Astrophysical Journal, Journal Name: The Astrophysical Journal Journal Issue: 1 Vol. 939; ISSN 0004-637X
• Publisher: IOP Publishing
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
Alfven waves
interplanetary turbulence
magnetohydrodynamical simulations
magnetohydrodynamics
plasma astrophysics
plasma physics
space plasmas