Anisotropic turbulent model for solar coronal heating
arXiv:0712.2029 · doi:10.1051/0004-6361:20079227
Abstract
Context : We present a self-consistent model of solar coronal heating, originally developed by Heyvaert & Priest (1992), in which we include the dynamical effect of the background magnetic field along a coronal structure by using exact results from wave MHD turbulence (Galtier et al. 2000). Aims : We evaluate the heating rate and the microturbulent velocity for comparison with observations in the quiet corona, active regions and also coronal holes. Methods :The coronal structures are assumed to be in a turbulent state maintained by the slow erratic motions of the magnetic footpoints. A description for the large-scale and the unresolved small-scale dynamics are given separately. From the latter, we compute exactly (or numerically for coronal holes) turbulent viscosites that are finally used in the former to close self-consistently the system and derive the heating flux expression. Results : We show that the heating rate and the turbulent velocity compare favorably with coronal observations. Conclusions : Although the Alfven wave turbulence regime is strongly anisotropic, and could reduce a priori the heating efficiency, it provides an unexpected satisfactory model of coronal heating for both magnetic loops and open magnetic field lines.
13 pages, 7 figures
References in corpus (8)
- Alfven Waves and Turbulence in the Solar Atmosphere and Solar Wind
- Weak compressible magnetohydrodynamic turbulence in the solar corona
- On spectral scaling laws for incompressible anisotropic MHD turbulence
- Turbulent coronal heating and the distribution of nanoflares
- Development of Anisotropy in Incompressible Magnetohydrodynamic Turbulence
- Spectral Modeling of Turbulent Flows and the Role of Helicity
- Energy decay laws in strongly anisotropic MHD turbulence
- Profiles of heating in turbulent coronal magnetic loops
Cited by in corpus (9)
- Connecting the Sun and the Solar Wind: The First 2.5 Dimensional Self-consistent MHD Simulation under the Alfvén Wave Scenario
- One-Dimensional Optical Wave Turbulence: Experiment and Theory
- Shear Photospheric Forcing and the Origin of Turbulence in Coronal Loops
- On the Origin of the Slow Speed Solar Wind: Helium Abundance Variations
- Fast magneto-acoustic wave turbulence and the Iroshnikov-Kraichnan spectrum
- Nonlinear diffusion equations for anisotropic MHD turbulence with cross-helicity
- Particle scattering in turbulent plasmas with amplified wave modes
- Evolution of plasma turbulence excited with particle beams
- Wave turbulence in magnetohydrodynamics