A gyro-kinetic model for trapped electron and ion modes

  • Thomas Drouot
  • Etienne Gravier
  • Thierry Reveille
  • Alain Ghizzo
  • Pierre Bertrand
  • Xavier Garbet
  • Yanick Sarazin
  • Thomas Cartier-Michaud
Regular Article
Part of the following topical collections:
  1. Topical issue: Theory and Applications of the Vlasov Equation


In tokamak plasmas, it is recognized that ITG (ion temperature gradient instability) and trapped electron modes (TEM) are held responsible for turbulence giving rise to anomalous transport. The present work focuses on the building of a model including trapped kinetic ions and trapped kinetic electrons. For this purpose, the dimensionality is reduced by averaging the motion over the cyclotron motion and the “banana” orbits, according to the fact that the instabilities are characterized by frequencies of the order of the low trapped particle precession frequency. Moreover, a set of action-angle variables is used. The final model is 4D (two-dimensional phase space parametrized by the two first adiabatic invariants namely the particle energy and the trapping parameter). In this paper, the trapped ion and electron modes (TIM and TEM) are studied by using a linear analysis of the model. This work is currently performed in order to include trapped electrons in an existing semi lagrangian code for which TIM modes are already taken into account. This study can be considered as a first step in order to include kinetic trapped electrons in the 5D gyrokinetic code GYSELA [J. Abiteboul et al., ESAIM Proc. 32, 103 (2011)].


Trap Electron Vlasov Equation Trap Particle Instability Threshold Larmor Radius 
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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Thomas Drouot
    • 1
  • Etienne Gravier
    • 1
  • Thierry Reveille
    • 1
  • Alain Ghizzo
    • 1
  • Pierre Bertrand
    • 1
  • Xavier Garbet
    • 2
  • Yanick Sarazin
    • 2
  • Thomas Cartier-Michaud
    • 2
  1. 1.IJL, UMR 7198 CNRSUniversité de LorraineVandoeuvre-les-NancyFrance
  2. 2.CEA, IRFMSaint-Paul-Lèz-Durance CedexFrance

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