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Physics 777 Plasma Physics and Magnetohydrodynamics (MHD)

Physics 777 Plasma Physics and Magnetohydrodynamics (MHD). Instructor: Gregory Fleishman Lecture 10 . Wave-Particle Interactions. 4 November 200 8. Plan of the Lecture. Basic Consideration; Conservation Laws Quasi-Linear Approximation

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Physics 777 Plasma Physics and Magnetohydrodynamics (MHD)

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  1. Physics 777Plasma Physics and Magnetohydrodynamics (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. Section 2. Quasi-Linear Approximation Credit: E.Kontar

  5. Section 3. Saturation of Instabilities due to Wave-Particle Interactions

  6. Analytical treatment is possible under a number of simplifications

  7. Time profiles of solar radio spikes

  8. Hamilton & Petrosian 1992

  9. Section 4. Non-resonant wave-particle interactions • Diffusion in small-scale turbulence • Weak long-wavelength turbulence • Strong long-wavelength turbulence

  10. 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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