Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jgr....9821045m&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 98, no. A12, p. 21,045-21,059
Astronomy and Astrophysics
Astronomy
39
Astronomical Models, Incompressible Flow, Magnetohydrodynamic Flow, Magnetohydrodynamic Waves, Plasma Turbulence, Power Spectra, Solar Wind, Transport Properties, Wave Propagation, Mathematical Models, Propagation Velocity, Spatial Distribution, Velocity Distribution, Wentzel-Kramer-Brillouin Method
Scientific paper
In this paper a set of time stationary transport equations for incompressible MHD fluctuations in the solar wind is derived from previous general transport equations (Marsch and Tu, 1989; Zhou and Matthaeus, 1990a), which have been found to give solutions with fast time variations. The present deviation is based on the assumption that the fluctuations are composed of small-scale convected structures and short-wavelength Alfven waves. The different contributions of these two types of fluctuations to the total correlation functions can be evaluated by means of temporal and spatial averaging of the correlations over the small scales. Two linearly decoupled sets of transport equations then result, which separately describe the spatial evolution of the turbulent energies and cross correlations of the structures and waves. For the propagating Alfven waves a multiple-scale analysis yields two Wentzel-Kramer-Brillouin (WKB)-type transfer equations for the autocorrelation functions expressed in terms of Elsaesser velocity fields. For the structures a third additional equation is derived, which determines the evolution of the residual energy, that is, the difference between the kinetic and magnetic energy of the convected fluctuations. The final set of equations is slowly varying in time and thus satisfactory from the point of view of conventional statistical turbulence by dimensional analysis following the Kolmogorov phenomenology and based on the time stationarity assumption.
Marsch Eckart
Tu Chia-Ying
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