Physics 777 Plasma Physics and Magnetohydrodynamics (MHD) Instructor: Gregory Fleishman Lecture 11. Particle Transport 11 November 2008.

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Presentation transcript:

Physics 777 Plasma Physics and Magnetohydrodynamics (MHD) Instructor: Gregory Fleishman Lecture 11. Particle Transport 11 November 2008

Plan of the Lecture Particle Transport in Collisionless Plasma Particle Diffusion in the Turbulent Fields Particle Trapping in Magnetic Structures Effect of Coulomb Collisions

Section 1. Particle Transport in Collisionless Plasma Free Streaming Particle Transport Particle Diffusion in Random Fields Particle Advection Turbulent Diffusion of Charged Particles

Section 2. Particle Diffusion in the Turbulent Fields. Propagation of CRs in the Galaxy. Credit: A. Dar & A. De R´ujula (2008)

Now we can obtain the Green’s function G(r) for D=const Credit: M. Kachelrieß (2008)

 ~ 10 7 yr >>  fr.st

Section 3. Particle Trapping in Magnetic Structures. Case of the Solar Corona. M. Aschwanden. Chapter 12

Section 4. Particle Trapping in Magnetic Structures. Effect of Coulomb Collisions.

 =(d ln F/dt) -1   ~ (   / n ff Be f ~ f Be  

Section 5. Homework Assume free propagation of the cosmic rays (CR) across the Galactic disk (d=500 pc). Estimate the residence time of the CRs in the disk. Assume diffusive propagation of CRs at 100 GeV with diffusion coefficient D(100 GeV) =5x10 27 cm 2 /s. Estimate: a) mean free path; b) residence time in the disk; c) anisotropy (assume dipole type of anisotropy and apply Fick’s low). Find energy dependences of the above (a-c) measures for the power-law turbulence spectra with indices = 1; 1.7; 2.