Graduate Question about kinetic theory and hydrodynamics (in plasmas)

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In plasma physics, it is common to use a kinetic description for electron fluids alongside a hydrodynamic description for ion fluids to analyze plasma properties and electrostatic wave dynamics. The discussion raises questions about the physical meaning and limitations of this combined approach. One participant expresses curiosity about the contexts in which this method is considered "usual," noting their own experience in plasma physics did not include this practice. The conversation highlights the diversity of applications in plasma research, including fusion and space physics. Understanding the validity and constraints of this methodology is essential for accurate plasma modeling.
zaki belh
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It is usual, in plasma physics, to combine the kinetic description for electron fluid and the hydrodynamic description for ion fluid, when studying the plasma properties or the dynamics of the electrostatic waves.
I am wondering what are the physical meaning and limits of such an approach.
Thanks.
 
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I find your question curious. In what context do you find it is “usual” to use kinetic theory for electrons and fluid theory for ions?I did my PhD in plasma physics and do not recall seeing this approach. All of my research was on space plasmas, but the pure plasma physics coursework I took was general since it was taken by students with many interests (fusion, space physics, semiconductor processing, etc).
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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