Abstract
In this section we derive the transport equation for the small scale Elsässer variables starting from the evolution equations for the kinetic and magnetic energy. Note that the matrix \(\nabla \boldsymbol{a}(= \nabla \otimes \boldsymbol{ a})\) denotes a dyadic product and not a vector gradient. The reader is urged to caution, since this notation is not consistently used throughout the literature.
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Gombosi, T.I.: Physics of the Space Environment. Cambridge Atmospheric and Space Science Series. Cambridge University Press, Cambridge (1998)
Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products, 7th edn. Academic Press, New York (2000)
Melrose, D.B., Pope, M.H.: Proc. Astron. Soc. Aust. 10, 222 (1993)
Schlickeiser, R.: Cosmic Ray Astrophysics. Springer, Berlin (2002)
Zank, G.P.: Transport Processes in Space Physics and Astrophysics. Lecture Notes in Physics, vol. 877, 1st edn. Springer, New York (2014)
Zank, G.P., Matthaeus, W.H., Smith, C.W.: J. Geophys. Res. 101, 17093 (1996). doi:10.1029/96JA01275
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Dosch, A., Zank, G.P. (2016). The Transport of Low Frequency Turbulence. In: Transport Processes in Space Physics and Astrophysics . Lecture Notes in Physics, vol 918. Springer, Cham. https://doi.org/10.1007/978-3-319-24880-6_5
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DOI: https://doi.org/10.1007/978-3-319-24880-6_5
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