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

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• The exponent gives the phase of the wave. The phase velocity specifies how fast a feature of a monotonic wave is moving v ph = ω r k 2 k •Information propagates at the group velocity. A wave can carry information provided it is formed from a finite range of frequencies or wave numbers. The group velocity is given by ∂ v g = r ω ∂k •The phase and group velocities are calculated and waves are analyzed by determining the dispersion relation ω = ω(k)
• When the dispersion relation shows asymptotic behavior toward a given frequency, ω res , v g goes to zero, the wave no longer propagates and all the wave energy goes into stationary oscillations. This is called a resonance.
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 22 and 23: B r • The force is along and away
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: •Some elementary wave concepts -F
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

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