Jul 2 – 6, 2018
Žofín Palace
Europe/Prague timezone

P5.4007 Derivation and application of the magnetized Fokker-Planck and Balescu-Lenard-Guernsey collision terms

Jul 6, 2018, 2:00 PM
2h
Mánes

Mánes

Speaker

Ding Li

Description

See the full Abstract at http://ocs.ciemat.es/EPS2018ABS/pdf/P5.4007.pdf Derivation and application of the magnetized Fokker-Planck and Balescu-Lenard-Guernsey collision terms C. Dong1, 2, D. Li1, 2, 3, W. Zhang1, 2, 3, J. Cao1, 2 1 Institute of Physics, Chinese Academy of Sciences, Beijing, China 2 University of Chinese Academy of Sciences, Beijing, China 3 University of Science and Technology of China, Hefei, China In the magnetized and laser fusion plasma, space and astrophysical plasma, the particles’ gyro-radii can be smaller than the Debye length when there is a strong magnetic field. This will have a significant influence on collision dynamics and many physical processes such as parallel velocity slowing down, temperature relaxation, particle diffusion, thermal transport, and so on. The Fokker-Planck collision including a uniform magnetic field is derived meanwhile the analytical expressions of magnetized Fokker-Planck coefficients have been derived explicitly within the binary collision model. The fully magnetized Fokker-Planck kinetic equation is also manipulated into the Landau form. The Balescu-Lenard-Guernsey collision term including a uniform magnetic field is derived by employing the Fokker-Planck approach. By using the fluctuating electrostatic field for quiescent plasmas, the magnetized Fokker-Planck coefficients are calculated explicitly based on the wave theory which includes the collective effects in a proper manner. Manipulating the magnetized Fokker-Planck collision term into the Landau form, the magnetized Balescu-Lenard-Guernsey collision term is obtained. The magnetized Fokker-Planck coefficients are simplified to study the temperature relaxation and stopping power. It is shown that the effect of strong magnetic field is significant on those physical processes.

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