1. Physics 777 Plasma 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

10. Section 2. Quasi-Linear Approximation Credit: E.Kontar

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

15. Analytical treatment is possible under a number of simplifications

17. Time profiles of solar radio spikes

19. Hamilton & Petrosian 1992

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.