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

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The Motion of Charged Particles • Equation of motion m r dv dt r = qE r r + qv × B + • SI Units – mass (m) - kg – length (l) - m – time (t) - s – electric field (E) - V/m – magnetic field (B) - T – velocity (v) - m/s – F g stands for non-electromagnetic forces (e.g. gravity) - usually ignorable. r F g
• B acts to change the motion of a charged particle only in directions perpendicular to the motion. – Set E = 0, assume B along z-direction. mv& mv& v&& x v&& y x y = qv y = −qv 2 qv& yB q vxB = = − 2 m m 2 2 q vyB = − 2 m – Equations of circular motion with angular frequency (cyclotron frequency or gyro frequency Ω = qB c m – If q is positive particle gyrates in left handed sense – If q is negative particle gyrates in a right handed sense B x B 2
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: The Plasma State • A plasma is an
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 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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