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A Brief Introduction to Space Plasma Physics.pdf - Institute of ...

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ϕ =<br />

−r<br />

λ<br />

qe D<br />

4π<br />

ε 0<br />

r<br />

•The Debye length ( ) is<br />

where n is the electron number density and now e<br />

is the electron charge.<br />

•The number <strong>of</strong> particles within a Debye sphere<br />

N<br />

D<br />

3<br />

4π<br />

nλ<br />

=<br />

D<br />

3<br />

λ<br />

needs <strong>to</strong> be large for shielding <strong>to</strong> occur<br />

(N D >>1). Far from the central charge the electrostatic<br />

force is shielded.<br />

D<br />

λ D<br />

⎛ 0kT<br />

= ⎜ ne<br />

2<br />

⎝<br />

ε<br />

⎞<br />

⎟<br />

⎠<br />

1<br />

2

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