Structure-preserving strategy for conservative simulation of the relativistic nonlinear Landau-Fokker-Planck equation

Takashi Shiroto, Yasuhiko Sentoku

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号053309
ジャーナルPhysical Review E
99
5
DOI
出版ステータスPublished - 2019 5 28
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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