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

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• For a coordinate in which the motion is periodic the action integral J i = ∫ pidqi = constant is conserved. rHere pr i is the rcanonical momentum ( p = mv + qA where A is the vector potential). r r 2πm • For a gyrating particle J1 = ∫ p⊥ ⋅ds = µ q • The action integrals are conserved when the properties of the system change slowly compared to the period of the coordinate.
• The magnetic mirror – As a particle gyrates the current will be I = q T c where T c = π Ω c – The force on a dipole magnetic moment is where A = π r IA = π v 2 c 2 ⊥ 2π Ω v = π Ω q Ω c 2 c = 2 ⊥ 2 c mv 2B r dB F = − r µ ⋅∇B = −µ r dz µ = µ bˆ 2 ⊥ = 2 µ
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 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 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

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