Dynamic Alignment and Exact Scaling Laws in MHD Turbulence
arXiv:astro-ph/0605233 · doi:10.1088/0004-637X/699/1/L39
Abstract
Magnetohydrodynamic (MHD) turbulence is pervasive in astrophysical systems. Recent high-resolution numerical simulations suggest that the energy spectrum of strong incompressible MHD turbulence is . So far, there has been no phenomenological theory that simultaneously explains this spectrum and satisfies the exact analytic relations for MHD turbulence due to Politano & Pouquet. Indeed, the Politano-Pouquet relations are often invoked to suggest that the spectrum of MHD turbulence instead has the Kolmogorov scaling -5/3. Using geometrical arguments and numerical tests, here we analyze this seeming contradiction and demonstrate that the -3/2 scaling and the Politano-Pouquet relations are reconciled by the phenomenon of scale-dependent dynamic alignment that was recently discovered in MHD turbulence.
Published version
References in corpus (14)
- Spectrum of magnetohydrodynamic turbulence
- Simulations of Incompressible MHD Turbulence
- Thermal Conduction in Clusters of Galaxies
- Compressible MHD Turbulence in Interstellar Plasmas
- Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
- On the Spectrum of Magnetohydrodynamic Turbulence
- Spectral energy dynamics in magnetohydrodynamic turbulence
- Dynamic Alignment in Driven Magnetohydrodynamic Turbulence
- Statistical anisotropy of magnetohydrodynamic turbulence
- Role of cross helicity in magnetohydrodynamic turbulence
- Polarization intermittency in MHD and its influence on turbulent cascade
- On weak and strong magnetohydrodynamic turbulence
- Numerical Measurements of the Spectrum in Magnetohydrodynamic Turbulence
- Accurate estimation of third-order moments from turbulence measurements
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