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- W4322006944 abstract "A wave turbulence theory is developed for inertial electron magnetohydrodynamics (IEMHD) in the presence of a relatively strong and uniform external magnetic field B0 = B0e∥. This regime is relevant for scales smaller than the electron inertial length de. We derive the kinetic equations that describe the three-wave interactions between inertial whistler or kinetic Alfvén waves. We show that for both invariants, energy and momentum, the transfer is anisotropic (axisymmetric) with a direct cascade mainly in the direction perpendicular (⊥) to B0. The exact stationary solutions (Kolmogorov–Zakharov spectra) are obtained for which we prove the locality. We also found the Kolmogorov constant CK ≃ 8.474. In the simplest case, the study reveals an energy spectrum in k⊥−5/2k∥−1/2 (with k the wavenumber) and a momentum spectrum enslaved to the energy dynamics in k⊥−3/2k∥−1/2. These solutions correspond to a magnetic energy spectrum ∼k⊥−9/2, which is steeper than the EMHD prediction made for scales larger than de." @default.
- W4322006944 created "2023-02-26" @default.
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- W4322006944 date "2023-05-15" @default.
- W4322006944 modified "2023-10-14" @default.
- W4322006944 title "Wave turbulence in inertial electron magnetohydrodynamics" @default.
- W4322006944 doi "https://doi.org/10.5194/egusphere-egu23-6669" @default.
- W4322006944 hasPublicationYear "2023" @default.
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