Plasma physics

  • #1
281
0

Homework Statement


Derive (from the equation of motion of a neutral gas and an assumption of constant gravitational field) an expression showing why the concentrations of neutral molecules decrease approximately exponentially with increasing altitude, and why the concentration of atomic oxygen (O) decreases slower with altitude than the N2 density, which in turn decreases slower than the concentration of molecular oxygen (O2). State explicitly all assumptions you make.


The Attempt at a Solution


I used the hydrostatic balance
[tex]\frac{dp}{dh} = -\rho g[/tex]
to get
[tex]\rho = \rho_0 \exp{-\frac{gh}{RT}}[/tex]
but this is not the equation of motion stated to start with, right?
Should I somehow use
[tex]m\frac{d\vec{v}}{dt} = q(\vec{E} + \vec{v} \times \vec{B}) - \nabla p + F_g[/tex]
instead?
 

Answers and Replies

Related Threads on Plasma physics

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
0
Views
5K
  • Last Post
Replies
0
Views
2K
Replies
3
Views
2K
  • Last Post
Replies
3
Views
2K
Replies
4
Views
434
Replies
3
Views
3K
Replies
4
Views
1K
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
Top