Magnetohydrodynamic Turbulent Cascade of Coronal Loop Magnetic Fields
arXiv:1005.1640 · doi:10.1103/PhysRevE.83.065401
Abstract
The Parker model for coronal heating is investigated through a high resolution simulation. An inertial range is resolved where fluctuating magnetic energy E_M (k_perp) \propto k_\perp^{-2.7} exceeds kinetic energy E_K (k_\perp) \propto k_\perp^{-0.6}. Increments scale as δb_\ell \simeq \ell^{-0.85} and δu_\ell \simeq \ell^{+0.2} with velocity increasing at small scales, indicating that magnetic reconnection plays a prime role in this turbulent system. We show that spectral energy transport is akin to standard magnetohydrodynamic (MHD) turbulence even for a system of reconnecting current sheets sustained by the boundary. In this new MHD turbulent cascade, kinetic energy flows are negligible while cross-field flows are enhanced, and through a series of "reflections" between the two fields, cascade more than half of the total spectral energy flow.
5 pages, 5 figures, to appear in Physical Review E - Rapid. Comm
References in corpus (14)
- Reconnection in a Weakly Stochastic Field
- A weak turbulence theory for incompressible MHD
- Shell to shell energy transfer in MHD, Part I: steady state turbulence
- Nonlinear Dynamics of the Parker Scenario for Coronal Heating
- Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results
- Coronal Heating, Weak MHD Turbulence and Scaling Laws
- Scale-Locality of Magnetohydrodynamic Turbulence
- Localness of energy cascade in hydrodynamic turbulence, II. Sharp spectral filter
- Coronal Loops: Observations and Modeling of Confined Plasma
- Turbulent coronal heating and the distribution of nanoflares
- Scaling laws and diffuse locality of balanced and imbalanced MHD turbulence
- Energy spectrum of turbulent fluctuations in boundary driven reduced magnetohydrodynamics
- Shear Photospheric Forcing and the Origin of Turbulence in Coronal Loops
- Exact scaling laws and the local structure of isotropic magnetohydrodynamic turbulence
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- Energetics and 3-D Structure of Elementary Events in Solar Coronal Heating
- Coronal Heating Topology: the Interplay of Current Sheets and Magnetic Field Lines
- Equilibria, Dynamics and Current Sheets Formation in Magnetically Confined Coronae
- How Turbulent is the Magnetically Closed Corona?
- Magnetic field line twisting by photospheric vortices: energy storage and release
- Subresolution Activity in Solar and Stellar Coronae from Magnetic Field Line Tangling
- A Model of Plasma Heating by Large-Scale Flow
- Polarization Properties of the Electromagnetic Response to High-frequency Gravitational Wave