A spherical harmonic expansion of the Boltzmann equation for nonhydrodynamic weakly ionized plasma in the presence of both electric and magnetic fields

2008 ◽  
Vol 41 (35) ◽  
pp. 355501 ◽  
Author(s):  
Yu I Matveenko ◽  
D A Gryaznykh ◽  
A A Kondrat'ev ◽  
I A Litvinenko
Keyword(s):  
Boltzmann Equation ◽  
Magnetic Fields ◽  
Spherical Harmonic ◽  
Spherical Harmonic Expansion ◽  
The Boltzmann Equation ◽  
Electric And Magnetic Fields ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma

A multi-term spherical harmonic expansion of the Boltzmann equation for application to low-temperature collisional plasmas

2019 ◽  
Vol 26 (10) ◽  
pp. 103506 ◽  
Author(s):  
S. B. Swanekamp ◽  
P. F. Ottinger ◽  
P. E. Adamson ◽  
J. L. Giuliani ◽  
Tz. B. Petrova ◽  
...  
Keyword(s):  
Boltzmann Equation ◽  
Low Temperature ◽  
Spherical Harmonic ◽  
Spherical Harmonic Expansion ◽  
The Boltzmann Equation

Inelastic collision integral approximation of the Boltzmann equation

1976 ◽  
Vol 16 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Pierre Ségur ◽  
Joëlle Lerouvillois-Gaillard
Keyword(s):  
Distribution Function ◽  
Boltzmann Equation ◽  
Power Series ◽  
Spherical Harmonic ◽  
Inelastic Collision ◽  
Collision Integral ◽  
Spherical Harmonic Expansion ◽  
Square Root ◽  
Integral Approximation ◽  
The Boltzmann Equation

A study is made of the inelastic collision integral of the Boltzmann equation using scattering probability formalism. The collision operators are expanded in a power series in the square root of the ratio of masses.Furthermore, a spherical harmonic expansion is made of all the operators so obtained. These developments are valid whatever the shape of the distribution function of the particles.

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