Fundamentals of Plasma Physics

Appendix C 527

Dreicer runaway electric field (p.395)

EDreicer=5. 6 × 10 −^18 neZ

lnΛ

Te

V/m.

Typical neutral cross-section (p.16)

σneut∼ 3 × 10 −^20 m^2

Warm plasma waves

Electrostatic susceptibility (p.165)

χσ=

1

k^2 λ^2 Dσ

[1+αZ(α)]

whereα=ω/kvTσ

Plasma dispersion function (p.165)

Z(α) =

1

π^1 /^2

∫∞

−∞

dξ

exp(−ξ^2 )

(ξ−α)

lim

α<< 1

Z(α) = − 2 α

(

1 −

2 α^2

3

+...

)

+iπ^1 /^2 exp(−α^2 )

lim

α>> 1

Z(α) = −

1

α

[

1+

1

2 α^2

+

3

4 α^4

+...

]

+iπ^1 /^2 exp(−α^2 )