1. The transport of low-frequency turbulence in astrophysical flows: Correlation lengths
- Author
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Laxman Adhikari, A. Dosch, and Gary P. Zank
- Subjects
Particle acceleration ,Shock wave ,Correlation ,Physics ,Turbulence ,Mathematical analysis ,Astrophysical plasma ,Statistical physics ,Low frequency ,Helicity ,Phenomenology (particle physics) - Abstract
Recently, Zank et al. 2012 developed a model to describe the transport of low-frequency turbulence in inhomogeneous and magnetized flows, based on the Elsasser description. By taking moments of the small scale Elsasser variables z ±, transport equations for the total energy ET , the cross helicity EC , and the energy difference (residual energy) ED of the turbulence were derived. The set of transport equations was completed by introducing evolution equations for the correlation lengths λ± (corresponding to forward and backward propagating modes of the Elsasser variable), and the correlation length λ D (corresponding to the energy difference ED ). A first simplification was achieved by setting λ+ = λ−. In this paper we show that, based on an integral scale for velocity correlations, the choice of λ+ = λ− has a certain phenomenology with some very specific implications on the set of transport equations. In particular, it is shown that λ D and z ± can no longer be chosen arbitrarily, but must satisfy certain restrictions. These are discussed and a reduced transport model is derived.
- Published
- 2013
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