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--- private:writeups:plasmaphysics [2020/07/16 14:56]
admin created
+++ private:writeups:plasmaphysics [2020/07/16 15:00] (current)
admin
@@ Line 2: / Line 2: @@
-====== Plasma terminal velocity (electrical conductivity and diffusion) ======
+====== Plasma viscous flow (electrical conductivity and diffusion) ======
-When forces are applied to a plasma (or any fluid) in the presence of a damping force (viscosity, friction, collisions, etc), the plasma achieves a steady-state velocity (i.e. terminal velocity).
+When forces are applied to a plasma (or any fluid) in the presence of a damping force (viscosity, friction, collisions, etc), the plasma achieves a steady-state velocity (i.e. terminal velocity) with the form
-$\left< v \right> = \text{constant} * \frac{F_{orces}}{e} $.  If the forces are electromagnetic, the process is called electrical conductivity.  If the forces are pressures and density gradients, the process is called diffusion.  The two cases can also be mixed.
+$\left< v \right> = \text{constants} * F_{orces}$.
+If the forces are electromagnetic, the process is called electrical conductivity (or resistivity).  If the forces are pressures and density gradients, the process is called diffusion.  The two cases can also be mixed.
 ==== Electrical conductivity ====
@@ Line 23: / Line 25: @@
 Electromagnetic form,
-$  J   = \sigma \left( E + v x B \right) $ [[https://w3.pppl.gov/~jchen/books/JDCallen/chap6.pdf|callen_ch6]]
+$  J   = \sigma \left( E + v \times B \right) $ [[https://w3.pppl.gov/~jchen/books/JDCallen/chap6.pdf|callen_ch6]]
 ==== Diffusion ====

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