Physics 777 Plasma Physics and Magnetohydrodynamics (MHD) - PowerPoint PPT Presentation

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Physics 777 Plasma Physics and Magnetohydrodynamics (MHD)

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Title: 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
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Section 2. Quasi-Linear Approximation
Credit E.Kontar
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Section 3. Saturation of Instabilities due to
Wave-Particle Interactions
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Analytical treatment is possible under a number
of simplifications
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Time profiles of solar radio spikes
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Hamilton Petrosian 1992
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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.
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