Fundamentals of Plasma Physics

526 Appendix C

Ion acoustic velocity (p.(4.33))

cs=

√

κTe

mi

=9. 8 × 103

√

Te

A

m s−^1

Electron diamagnetic drift velocity (p.250)

ud,e=

κT

eB

∣

∣

∣

∣

1

n

∇n

∣

∣

∣

∣=

Te

B

∣

∣

∣

∣

1

n

∇n

∣

∣

∣

∣m s

− 1

Ion diamagnetic drift velocity (flow in opposite direction from electrons, (p.250)

ud,e=

κTi

qiB

∣

∣

∣

∣

1

n

∇n

∣

∣

∣

∣=

Ti

ZB

∣

∣

∣

∣

1

n

∇n

∣

∣

∣

∣m s

− 1

Alfvén velocity (p.132)

vA=

B

√

μ 0 nimi

=

B

√

μ 0 neAmp/Z

=2. 2 × 1016 B

√

Z

neA

m s−^1

Wave phase velocity (p.202)

vph=

ω

k

=fλ

Dimensionless
Plasma beta (p.319)

β=

2 μ 0 nκT

B^2

=

4. 0267 × 10 −^25

B^2

nT

Lundquist number (p.381)

S=

μ 0 vAL

η

Collisions, resistivity, and runaways

Electron-electron collision rate (p.21)

νee=4× 10 −^12

nlnΛ

TeV^3 /^2

s−^1

wherelnΛ∼ 10 , electron-ion rate same magnitude, ion-ion slower by

√

me/mi

Spitzer resistivity (p.394)

η=1. 03 × 10 −^4

ZlnΛ

Te^3 /^2

Ohm-m