Statistical theory of magnetohydrodynamic turbulence: recent results
By Mahendra K. Verma. 2004
303 citations recorded by the source corpus.
In this review article we will describe recent developments in statistical theory of magnetohydrodynamic (MHD) turbulence. Kraichnan and Iroshnikov first proposed a phenomenology of MHD turbulence where Alfven time-scale dominates the dynamics, and the energy spectrum E(k) is proportional to k −3/2 . In the last decade, many numerical simulations show that spectral index is closer to 5 , which is Kolmogorov’s index for fluid turbulence. We review recent theoretical results based on anisotropy and Renormalization Groups which support Kolmogorov’s scaling for MHD turbulence. Energy transfer among Fourier modes, energy flux, and shell-to-shell energy transfers are important quantities in MHD turbulence. We report recent numerical and field-theoretic results in this area. Role of these quantities in magnetic field amplification (dynamo) are also discussed. There are new insights into the role of magnetic helicity in turbulence evolution. Recent interestingresults in intermittency, larg e-eddy simulations, and shell models of magnetohydrodynamics are also covered.
Subfields: Astronomy and Astrophysics, Computational Mechanics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/709a6f05e0daf59b6bf6e89b66e2fa3ac6df1c84
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In Astronomy and Astrophysics
- A. Strong
- K. Subramanian
- Igor V. Moskalenko
- V. Zirakashvili
- V. Ptuskin
- Axel Brandenburg
- F. C. Jones
- E. Orlando
In Computational Mechanics
- F. C. Jones
- A. Strong
- Axel Brandenburg
- K. Subramanian
- Igor V. Moskalenko
- V. Zirakashvili
- V. Ptuskin
- J. Papaloizou
In Statistical and Nonlinear Physics
Citations in the corpus
- Astrophysical magnetic fields and nonlinear dynamo theory (2004, background): “A similar effect was considered earlier in the context of generating fields in the interstellar medium in Ref.”
- Dissipation of Magnetohydrodynamic Waves on Energetic Particles: Impact on Interstellar Turbulence and Cosmic-Ray Transport (2005, methodology): “Comprehensive reviews of MHD turbulence have been given by Verma (2004), and by Zhou et al. (2004), Elmergreen & Scalo (2004), and Scalo & Elmergreen (2004) with application to interstellar turbulence.”