Inelastic collision integral approximation of the Boltzmann equation
Abstract
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.- Publication:
-
Journal of Plasma Physics
- Pub Date:
- August 1976
- DOI:
- 10.1017/S0022377800020006
- Bibcode:
- 1976JPlPh..16....1S
- Keywords:
-
- Boltzmann Transport Equation;
- Entire Functions;
- Inelastic Collisions;
- Kinetic Theory;
- Operators (Mathematics);
- Approximation;
- Distribution Functions;
- Particle Mass;
- Probability Theory;
- Scattering Functions;
- Velocity Distribution;
- Plasma Physics