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 ...
B r • The force is along and away from the direction of increasing B. • Since E = 0 and kinetic energy must be conserved 1 2 1 2 2 2 mv = 2 m( v + v⊥) a decrease in v must yield an increase in v⊥ • Particles will turn around when B = 1 mv 2 2 µ
• The second adiabatic invariant – The integral of the parallel momentum over one complete bounce between mirrors is constant (as long as B doesn’t change much in a bounce). J = ∫ s s 1 2 2mv ds = const. – Using conservation of energy and the first adiabatic invariant J = ∫ s s 1 2 B 2 2mv(1 − ) 1 ds B here B m is the magnetic field at the mirror point. m = const.
- Page 1 and 2: ESS 200C - Space Plasma Physics Win
- Page 3 and 4: Space Plasma Physics • Space phys
- Page 5 and 6: - Galileo theorized that aurora is
- Page 7 and 8: The Plasma State • A plasma is an
- Page 9 and 10: • B acts to change the motion of
- Page 11: • The electric field can modify t
- Page 14 and 15: • The change in the direction of
- Page 16 and 17: • Maxwell’s equations - Poisson
- Page 18 and 19: • Maxwell’s equations in integr
- Page 20 and 21: • For a coordinate in which the m
- Page 24: - As particles bounce they will dri
- Page 27 and 28: The Properties of a Plasma • A pl
- Page 29 and 30: • For monatomic particles in equi
- Page 31 and 32: • What makes an ionized gas a pla
- Page 34 and 35: • The plasma frequency - Consider
- Page 36 and 37: • A note on conservation laws - C
- Page 38 and 39: - Momentum equation r ∂us r r r r
- Page 40 and 41: • Energy equation ∂ ( ∂t 1 2
- Page 43 and 44: - Often the last terms on the right
- Page 45 and 46: F B • Magnetic pressure and tensi
- Page 47 and 48: •Some elementary wave concepts -F
- Page 49 and 50: • When the dispersion relation sh
- Page 51 and 52: - Incompressible Alfvén waves •
- Page 53 and 54: 1 2 2 C ⎛ B ⎞ A ⎜ ⎟ ⎝ µ
- Page 55 and 56: - Continuity - Momentum - Equation
- Page 57 and 58: • The fluid velocity must be alon
- Page 59: - Arbitrary angle between k r and B
B r<br />
• The force is along and away from the direction <strong>of</strong><br />
increasing B.<br />
• Since E = 0 and kinetic energy must be conserved<br />
1 2 1 2 2<br />
2<br />
mv =<br />
2<br />
m(<br />
v + v⊥)<br />
a decrease in v must yield an increase in v⊥<br />
• Particles will turn around when<br />
B =<br />
1<br />
mv<br />
2<br />
2<br />
µ
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