Abstract
Mathematical symmetries of the Beliaev-Budker kernel are the most important structure of the relativistic Landau-Fokker-Planck equation. In most numerical simulations, however, one of the symmetries is not preserved in the discrete level resulting in a violation of the energy conservation. Recently, we proposed a charge-momentum-energy-conserving relativistic Vlasov-Maxwell scheme by preserving mathematical formulas in discrete form, and here we apply the concept to the relativistic Landau-Fokker-Planck equation. Through a numerical experiment of relativistic collisional relaxation, a mass-momentum-energy-conserving simulation has been demonstrated without any artificial constraints.
Original language | English |
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Article number | 053309 |
Journal | Physical Review E |
Volume | 99 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2019 May 28 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics