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

Takashi Shiroto, Yasuhiko Sentoku

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Article number053309
JournalPhysical Review E
Volume99
Issue number5
DOIs
Publication statusPublished - 2019 May 28
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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