• Corpus ID: 118892694

Modelling the Lagrangian of magnetized plasmas with low-frequency magnetic perturbations by a gyrokinetic Ampere-Poisson model

@article{Zhang2017ModellingTL,
  title={Modelling the Lagrangian of magnetized plasmas with low-frequency magnetic perturbations by a gyrokinetic Ampere-Poisson model},
  author={Shuangxi Zhang},
  journal={arXiv: Plasma Physics},
  year={2017}
}
Following the method in Ref.(1), this paper introduces a fundamental Lagrangian 1-form on the particle's coordinates, which determines the dynamics of all ions and electrons of the magnetized plasma with low-frequency magnetic perturbations. An Ampere-Vlasov model is utilized to model this fundamental Lagrangian 1-form based on a kind of coarse-grained scheme. With the Cary-Littlejohn single-parameter Lie transform method, a new fundamental Lagrangian 1-form on the gyrocenter coordinates is… 

References

Modelling the Lagrangian of magnetized plasmas with electrostatic perturbations by the gyrokinetic Distribution-Poisson models
It's well-known that due to the fact that the inverse-square structure of Coulomb force determines Poisson's equation which associates the electrostatic potential with the charge density on