Abstract
A reduced magnetohydrodynamic (RMHD) description is employed to examine a suggestion made by W. H. Matthaeus and colleagues in 1999 that coronal heating might be sustained by a cascade of lowfrequency MHD turbulence. Here RMHD simulations show that the low-frequency cascade to high transverse wavenumbers can be driven by an externally maintained —ux of low-frequency propagating waves, in combination with re—ection caused by an inhomogeneous background medium. The Alfvec n simulations show that the suggestions made previously on the basis of a phenomenology are indeed realizable. In addition, the eUect is seen to sensitively depend on the presence of re—ection, as the background turbulence level needed to maintain the cascade can be sustained only when re—ection is imposed. The steady level of turbulence is insensitive to the initial seed turbulence level (provided it is nonzero). Consequences of this model for realistic models of coronal heating in open —eld-line regions are discussed.
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