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.