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

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• Limitations on the invariants µ – is constant when there is little change in the field’s strength over a cyclotron path. ∇B B – All invariants require that the magnetic field not change much in the time required for one cycle of motion 1 B
The Properties of a Plasma • A plasma as a collection of particles – The properties of a collection of particles can be described by specifying how many there are in a 6 dimensional volume called phase space. • There are 3 dimensions in “real” or configuration space and 3 dimensions in velocity space. • The volume in phase space is dvdr • The number of particles in a phase space volume is where f is called the distribution function. – The density of particles of species “s” (number per unit volume) – The average velocity (bulk flow velocity) r u s r ( , t) = dv r r r ns ( , t) = ∫ fs ( , v, t) dv x dv y dv z dxdydz r r r r r = vf ( , v, t) dv / f ( , v, t) dv ∫ s ∫ s r r f ( , v, t) dvdr
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 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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