A Brief Introduction to Space Plasma Physics.pdf - Institute of ...
A Brief Introduction to Space Plasma Physics.pdf - Institute of ...
A Brief Introduction to Space Plasma Physics.pdf - Institute of ...
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– Average random energy<br />
r r 2<br />
− = ∫<br />
2 r r r<br />
1<br />
ms ( v us<br />
) ms<br />
( v − us<br />
) fs<br />
(<br />
, v,<br />
t)<br />
dv / fs<br />
(<br />
, v,<br />
t)<br />
dv<br />
r<br />
1<br />
2<br />
2<br />
– The partial pressure <strong>of</strong> s is given by<br />
p<br />
n<br />
s<br />
s<br />
2<br />
N<br />
=<br />
( ) 2 3r −<br />
1 2<br />
(<br />
2ms<br />
( v us<br />
)<br />
where N is the number <strong>of</strong> independent velocity components<br />
(usually 3).<br />
r<br />
∫<br />
– In equilibrium the phase space distribution is a Maxwellian<br />
distribution<br />
r r<br />
⎡ 1<br />
2<br />
r r<br />
( )<br />
( − ) ⎤<br />
2<br />
ms<br />
v us<br />
fs<br />
, v = As<br />
exp⎢<br />
⎥⎦<br />
⎣ kTs<br />
where<br />
A<br />
s<br />
= n<br />
s<br />
m<br />
2π<br />
kT
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