Physics 777 Plasma Physics and Magnetohydrodynamics (MHD)

1
Physics 777Plasma Physics and Magnetohydrodynamic
s (MHD)

• Instructor Gregory Fleishman
• Lecture 10. Wave-Particle Interactions

4 November 2008
2
Plan of the Lecture

• Basic Consideration Conservation Laws
• Quasi-Linear Approximation
• Saturation of Instabilities due to Wave-Particle
  Interactions
• Non-Resonant Wave-Particle Interactions

3
Section 1. Basic Consideration Conservation Laws
4
(No Transcript)
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
(No Transcript)
9
(No Transcript)
10
Section 2. Quasi-Linear Approximation
Credit E.Kontar
11
(No Transcript)
12
(No Transcript)
13
(No Transcript)
14
Section 3. Saturation of Instabilities due to
Wave-Particle Interactions
15
Analytical treatment is possible under a number
of simplifications
16
(No Transcript)
17
Time profiles of solar radio spikes
18
(No Transcript)
19
Hamilton Petrosian 1992
20
(No Transcript)
21
Section 4. Non-resonant wave-particle interactions

• Diffusion in small-scale turbulence
• Weak long-wavelength turbulence
• Strong long-wavelength turbulence

22
Section 5. Homework

• Using Hamilton Petrosian (1992) expressions for
  mean free path (l) and angular diffusion
  coefficient, calculate what spectrum of whistler
  turbulence is needed to ensure l is equal to
  Larmour radius.
• What spectrum of whistler turbulence is needed to
  ensure that the escape time (Eq. 10) does not
  depend on particle energy a) in
  non-relativistic case, b) in relativistic case.