Calculation of the Currents

  • Leopoldo S. García-Colín
  • Leonardo Dagdug
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 53)
We begin with calculating explicitly the expression for the mass current namely,
$$\vec{J}_{a}=m_{a}\int\vec{c}_{a}f_{a}^{(0)}\varphi_{a}^{(1)}d\vec{c}_{a}$$
which according to Eq. (3.13), omitting \(\mathop{\mathrm{grad}}\vec{u}\) terms yields
$$\vec{J}_{a}=m_{a}\int\vec{c}_{a}f_{a}^{(0)}\left\{\vec{\mathbb {A}}_{a}\cdot\mbox{grad }\ln T+\vec{\mathbb{D}}_{a}\cdot\vec {d}_{ab}\right\}d\vec{c}_{a}$$
where \(\vec{\mathbb{A}}_{a}\) and \(\vec{\mathbb{D}}_{a}\) as well, have the form expressed in Eq. (3.15′).

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Copyright information

© Springer Science + Business Media B.V. 2009

Authors and Affiliations

  • Leopoldo S. García-Colín
    • 1
  • Leonardo Dagdug
    • 1
  1. 1.Depto. FísicaUniversidad Autónoma Metropolitana-IztapalapaMéxico, D.F.México

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