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

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• MHD waves - natural wave modes <strong>of</strong> a magnetized fluid – Sound waves in a fluid • Longitudinal compressional oscillations which propagate at c s = ⎛ ⎜ ⎝ ∂ ∂ p ⎞ ⎟ ρ ⎠ 1 2 ⎛ γ p = ⎜ ⎝ ρ 1 2 ⎞ ⎟ ⎠ 1 2 ⎡ • ⎛ kT ⎞⎤ c s = ⎢γ ⎜ ⎟⎥and is comparable <strong>to</strong> the thermal speed. ⎣ ⎝ m ⎠⎦
– Incompressible Alfvén waves • Assume σ → ∞ , incompressible fluid with B r background 0 field and homogeneous z B 0 J b, u y • Incompressibility x ∇ ⋅u r = 0 • We want plane wave solutions b=b(z,t), u=u(z,t), b z =u z =0 • Ampere’s law gives the current r 1 ∂ b J = − iˆ µ 0 ∂ z u r ⋅∇ • Ignore convection ( )=0 r ∂u ρ = −∇p + ∂t r r J × B
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 and 48: •Some elementary wave concepts -F
Page 49: • When the dispersion relation sh
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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