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Four-dimensional equations for the study of electromagnetic plasma turbulence in a drift kinetic limit

2021/09/07 by Evgeny A. Gorbunov, Bogdan Teaca · 4 citations
Physics and Astronomy · #Classical mechanics #Computational physics #Electromagnetic field #Gyrokinetics #Gyroradius #Ionosphere and magnetosphere dynamics #K-epsilon turbulence model #K-omega turbulence model #Kinetic energy #Magnetic confinement fusion research #Magnetic field #Mechanics #Physics #Plasma #Quantum electrodynamics #Quantum mechanics #Solar and Space Plasma Dynamics #Tokamak #Turbulence #physics.plasm-ph

paper · pdf · doi:10.1017/s0022377822000083

published in Journal of Plasma Physics 88(1) (Cambridge University Press)

arxiv created 2021/09/07 · openalex publication_date 2022/02/01 · arxiv updated 2022/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For a magnetised plasma in a straight magnetic guide field, we derive a set of four-dimensional kinetic equations, which can capture electromagnetic turbulence in the drift kinetic limit. To do so, we start from the gyrokinetic equations, employ a Laguerre decomposition in the perpendicular velocity direction, retain only the dominant gyroaverage contributions and only the first two Laguerre moments that source the electromagnetic fluctuations. The model conserves free energy, and can describe electromagnetic turbulence for a plasma at the transition between fluid and gyrokinetic regimes (k_⊥ ρi≈ 1 range of scales), as dominant finite-Larmor-radius (FLR) effects are considered. In addition to the three dimensions in positions space, we retain the parallel velocity dependence, which we describe via a Hermite representation. Employing this system, but without any other physics based assumptions for the plasma species that can bias results, will allow us to investigate how fluid effects transition into the kinetic range, and analyse the interplay between spatial and velocity space mixing for electromagnetic plasma turbulence.

Citations