Anisotropy in Quasi-Static Magnetohydrodynamic Turbulence

Abstract

In this review we summarise the current status of the quasi-static magnetohydrodynamic turbulence. The energy spectrum is steeper than Kolmogorov's $k^{-5/3}$ spectrum due to the decrease of the kinetic energy flux with wavenumber $k$ as a result of Joule dissipation. The spectral index decreases with the increase of interaction parameter. The flow is quasi two-dimensional with strong ${\mathbf{U}}_{\perp }$ at small $k$ and weak $U_{\parallel }$ at large $k$, where ${\mathbf{U}}_{\perp }$ and $U_{\parallel }$ are the perpendicular and parallel components of velocity relative to the external magnetic field. For small $k$, the energy flux of ${\mathbf{U}}_{\perp }$ is negative, but for large $k$, the energy flux of $U_{\parallel }$ is positive. Pressure mediates the energy transfer from ${\mathbf{U}}_{\perp }$ to $U_{\parallel }$.

Review article

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Cited by in corpus (3)

• Magnetic field fluctuations in anisotropic, supersonic turbulence
• Inverse cascades of kinetic energy and thermal variance in three-dimensional horizontally extended turbulent convection
• Turbulent drag reduction in magnetohydrodynamic and quasi-static magnetohydrodynamic turbulence