Role of Magnetic Reconnection in Magnetohydrodynamic Turbulence

Loureiro, Nuno F.; Boldyrev, Stanislav

doi:10.1103/physrevlett.118.245101

Role of Magnetic Reconnection in Magnetohydrodynamic Turbulence

Journal Article · Fri Jun 16 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.118.245101· OSTI ID:1505742

Loureiro, Nuno F. ^[1]; Boldyrev, Stanislav ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center; MIT
Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; Space Science Inst., Boulder, Co (United States)

The current understanding of magnetohydrodynamic (MHD) turbulence envisions turbulent eddies which are anisotropic in all three directions. In the plane perpendicular to the local mean magnetic field, this implies that such eddies become current-sheetlike structures at small scales. Here, we analyze the role of magnetic reconnection in these structures and conclude that reconnection becomes important at a scale λ ~ LS$$- 4/7\atop{L}$$, where S_L is the outer-scale (L) Lundquist number and λ is the smallest of the field-perpendicular eddy dimensions. This scale is larger than the scale set by the resistive diffusion of eddies, therefore implying a fundamentally different route to energy dissipation than that predicted by the Kolmogorov-like phenomenology. In particular, our analysis predicts the existence of the subinertial, reconnection interval of MHD turbulence, with the estimated scaling of the Fourier energy spectrum E (k _⊥) ∝ k $$- 5/2\atop{⊥}$$, where k_⊥ is the wave number perpendicular to the local mean magnetic field. The same calculation is also performed for high (perpendicular) magnetic Prandtl number plasmas (Pm), where the reconnection scale is found to be λ / L ~ S$$- 4/7\atop{L}$$ Pm ^-2/7.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE

Grant/Contract Number:: SC0016215

OSTI ID:: 1505742

Alternate ID(s):: OSTI ID: 1364209

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 118; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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