We begin with calculating explicitly the expression for the mass current namely,
which according to Eq. (3.13), omitting \(\mathop{\mathrm{grad}}\vec{u}\) terms yields
where \(\vec{\mathbb{A}}_{a}\) and \(\vec{\mathbb{D}}_{a}\) as well, have the form expressed in Eq. (3.15′).
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García-Colín, L.S., Dagdug, L. (2009). Calculation of the Currents. In: The Kinetic Theory of a Dilute Ionized Plasma. Springer Series on Atomic, Optical, and Plasma Physics, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9330-2_4
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