Nonrelativistic and relativistic Landau/Fokker-Planck equation for arbitrary statistics
✍ Scribed by P. Danielewicz
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 507 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
✦ Synopsis
The Landau equation is obtained, for a system of particles of arbitrary statistics, by expanding the semiclassical Boltzmann collision integral in the scattering angle. The equation is next cast into the Fokker-Planck form. Both the nonrelativistic and the relativistic cases are considered. In each case, the conservation laws and the H theorem for the obtained equation are demonstrated, Generalization of the equation involving inelastic binary collisions is investigated.
📜 SIMILAR VOLUMES
Homogeneous Fokker-Planck-Landau equation denoted by FPLE is studied for Coulombian and isotropic distribution function, i.e. when the distribution function depends only on time and on the modulus of the velocity. We derive a new conservative and entropy decaying semi-discretized FPLE for which we p
We present fast numerical algorithms to solve the nonlinear Fokker-Planck-Landau equation in 3D velocity space. The discretization of the collision operator preserves the properties required by the physical nature of the Fokker-Planck-Landau equation, such as the conservation of mass, momentum, an