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Turbulence in Magnetized Pair Plasmas

Journal Article · · The Astrophysical Journal. Letters (Online)
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center; DOE/OSTI
  2. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; Space Science Inst., Boulder, CO (United States)

Alfvénic-type turbulence in strongly magnetized, low-beta pair plasmas is investigated. A coupled set of equations for the evolution of the magnetic and flow potentials are derived, covering both fluid and kinetic scales. In the fluid (magnetohydrodynamic) range those equations are the same as for electron–ion plasmas, so turbulence at those scales is expected to be of the Alfvénic nature, exhibiting critical balance, dynamic alignment, and transition to a tearing-mediated regime at small scales. The critical scale at which a transition to a tearing-mediated range occurs is derived, and the spectral slope in that range is predicted to be $${k}_{\perp }^{-8/3}$$ (or $${k}_{\perp }^{-3}$$, depending on details of the reconnecting configuration assumed). At scales below the electron (and positron) skin depth, it is argued that turbulence is dictated by a cascade of the inertial Alfvén wave, which we show to result in the magnetic energy spectrum $$\propto {k}_{\perp }^{-11/3}$$.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0016215
OSTI ID:
1612419
Journal Information:
The Astrophysical Journal. Letters (Online), Journal Name: The Astrophysical Journal. Letters (Online) Journal Issue: 1 Vol. 866; ISSN 2041-8213
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English

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