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Detailed Reference Information |
Matthaeus, W.H., Zhou, Y., Zank, G.P. and Oughton, S. (1994). Transport theory and the WKB approximation for interplanetary MHD fluctuations. Journal of Geophysical Research 99. doi: 10.1029/94JA02326. issn: 0148-0227. |
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An alternative approach, based on a multiple scale analysis, is presented in order to reconcile the traditional WKB approach to the modeling of interplanetary fluctuations in a mildly inhomogeneous large-scale flow with a more recently developed transport theory. This enables us to compare directly, at a formal level, the inherent structure of the two models. In the case of noninteracting, incompressible (Alfv¿n) waves, the principle difference between the two models is the presence of leading-order couplings (called ''mixing effects'') in the non-WKB turbulence model which are absent in a WKB development. Within the context of linearized MHD, two cases have been identified for which the leading order non-WKB ''mixing term'' does not vanish at zero wavelength. For these cases the WKB expansion is divergent, whereas the multiple-scale theory is well behaved. We have thus established that the WKB results are contained within the multiple-scale theory, but leading order mixing effects, which are likely to have important observational consequences, can never be recovered in the WKB style expansion. Properties of the higher-order terms in each expansion are also discussed, leading to the conclusion that the non-WKB hierarchy may be applicable even when the scale separation parameter is not small. ¿ American Geophysical Union 1994 |
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Abstract |
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Keywords
Interplanetary Physics, MHD waves and turbulence, Space Plasma Physics, Kinetic and MHD theory, Space Plasma Physics, Transport processes, Space Plasma Physics, Waves and instabilities |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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