scholarly journals Regularities of the solutions to the Fokker–Planck–Boltzmann equation

2008 ◽  
Vol 244 (12) ◽  
pp. 3060-3079 ◽  
Author(s):  
Lingbing He
Keyword(s):  
Boltzmann Equation ◽  
Fokker Planck

An analytical solution to the Boltzmann–Fokker–Planck equation for multi-component non-homogeneous plasmas

1989 ◽  
Vol 41 (3) ◽  
pp. 457-467 ◽  
Author(s):  
D. Zoler ◽  
S. Cuperman
Keyword(s):  
Boltzmann Equation ◽  
Energy Exchange ◽  
Collision Operator ◽  
Planck Equation ◽  
Large Temperature ◽  
Relaxation Rates ◽  
Plasma Model ◽  
Slowing Down ◽  
Component Plasma ◽  
Fokker Planck

The previously obtained analytical solution to the Boltzmann equation for nonhomogeneous plasmas with relative large temperature and density gradients is generalized in the following sense. (i) The relatively simple Bhatnagar, Gross and Krook collision operator is replaced by the Fokker-Planck operator expressed in terms of relaxation rates (slowing down, energy exchange, etc.). (ii) The simple Lorentzian plasma model is replaced by a multi-component plasma model with realistic masses and temperatures.

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