A Coupled Transport Model for Waves and Quasi-2D Turbulence in the Solar Wind

Physics

Scientific paper

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7859 Transport Processes, 7863 Turbulence (4490), 7867 Wave/Particle Interactions (2483, 6984), 7868 Wave/Wave Interactions

Scientific paper

The spatial transport of MHD-scale fluctuations in the solar wind is a long-standing problem which is yet to be fully understood. Even in the simplest case of radial transport there are numerous effects that may need to be represented to account for observations. Complications include the presence of both waves and turbulence, multiple forcing processes (such as stream shear and pickup ion driving), and the existence of spatial and spectral anisotropy in the fluctuations; e.g., Ref.~1. Here we present a model for the transport of such fluctuations, wherein they are assumed to consist of two components, namely a quasi-2D turbulence piece and a wave-like piece. Transport equations for the energy, cross helicity and characteristic lengthscale of each component are derived, along with a related equation for the proton temperature. The model includes the effects of solar wind expansion and advection, stream shear driving, pickup ion forcing, and nonlinear cascades due to self and cross interactions of the quasi-2D and wave-like components. The nonlinear effects are modeled using a recently developed one-point phenomenology for such a two component model of homogeneous MHD turbulence.2 Heating due to these nonlinear effects is included in the temperature equation. The development of the model will be outlined and numerical solutions appropriate for solar wind parameters will be presented and compared with observations. ^1 B. Breech, W.H. Matthaeus, J. Minnie, S. Oughton, S. Parhi, J.W. Bieber, and B. Bavassano. Radial evolution of cross helicity in high-latitude solar wind. Geophys. Rev. Lett. 32, L06103, doi: 10.1029/2004GL022321 (2005). 2 S. Oughton, W.H. Matthaeus, and P. Dmitruk. A two-component phenomenology for homogeneous magnetohydrodynamic turbulence. Phys. Plasmas, 13, 042306 (2006).

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