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

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– Momentum equation r ∂us r r r r r r ρ s ( + us ⋅∇us ) + msus ( Ss − Ls ) = −∇ps + ρqsE + J s × B + ρsF ∂t ρ = q n r J = where qs s s is the charge density, s s s s is the current density, and the last term is the density of nonelectromagnetic forces ∂ r – The operator ( + u s ⋅∇) is called the convective derivative ∂t and gives the total time derivative resulting from intrinsic time changes and spatial motion. – If the fluid is not moving (u s =0) the left side gives the net change in the momentum density of the fluid element. – The right side is the density of forces • If there is a pressure gradient then the fluid moves toward lower pressure. • The second and third terms are the electric and magnetic forces. q n r u g m s
u s ⋅∇ u s 0 – The term means that the fluid transports momentum with it. • Combine the species for the continuity and momentum equations – Drop the sources and losses, multiply the continuity equations by m s , assume n p =n e and add. Continuity ∂ρ r + ∇ ⋅( ρ u) = ∂t – Add the momentum equations and use m e
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 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

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

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