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Dynamic Phase Alignment in Inertial Alfvén Turbulence.

Lucio M Milanese1, Nuno F Loureiro1, Maximilian Daschner2

  • 1Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|January 15, 2021
PubMed
Summary
This summary is machine-generated.

In weakly collisional plasmas, Alfvénic turbulence shifts to inertial Alfvénic turbulence. This study reveals dual direct cascades of energy and generalized kinetic helicity, compatible due to scale-dependent phase alignment.

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Area of Science:

  • Plasma Physics
  • Astrophysics
  • Geophysics

Background:

  • Alfvénic turbulence is prevalent in weakly collisional plasmas.
  • At small scales (below electron skin depth), it transforms into inertial Alfvénic turbulence.

Purpose of the Study:

  • To investigate the cascade dynamics of energy and generalized kinetic helicity in inertial Alfvénic turbulence.
  • To determine the compatibility and scaling laws of these dual cascades.

Main Methods:

  • Theoretical analysis of turbulence in magnetized plasmas.
  • Examination of spectral energy and helicity transfer.
  • Derivation of scaling laws for phase alignment and anisotropy.

Main Results:

  • Energy and generalized kinetic helicity exhibit direct cascades in inertial Alfvénic turbulence.
  • Phase alignment between velocity and magnetic field fluctuations scales as cosα_{k}∝k_{⊥}^{-1}.
  • Kinetic and magnetic energy spectra scale as ∝k_{⊥}^{-5/3} and ∝k_{⊥}^{-11/3}, respectively.
  • Generalized helicity spectrum scales as ∝k_{⊥}^{-5/3}, indicating turbulence balancing at smaller scales.
  • Turbulent eddies show phase-space anisotropy k_{∥}∝k_{⊥}^{5/3}.

Conclusions:

  • The dual direct cascade of energy and generalized kinetic helicity is compatible in inertial Alfvénic turbulence.
  • These findings explain critically balanced inertial Alfvén fluctuations.
  • The results have broad applicability in space, astrophysical, and geophysical plasma environments.