10 papers · 1 filter
Gyrokinetic Vlasov-Poisson model derived by hybrid-coordinate transform of the distribution function
Shuangxi Zhang
This paper points out that the full-orbit density obtained in the standard electrostatic gyrokinetic model is not truly accurate at the order with respect to th…
Two electrostatic gyrokinetic models derived by two different perturbative methods
Shuangxi Zhang
This paper presents two different electrostatic gyrokinetic models derived through two different perturbative methods. One of the two models is just the conventional electrostatic…
On the gyrocenter transform implemented on Lagrangian differential 1-form with the existence of magnetic perturbation
Shuangxi Zhang
This paper pointed out that the usual gyrocenter transform, which implements single-parameter Lie transform perturbation theory on Lagrangian differential 1-form of the orbit of ch…
Modelling the Lagrangian of magnetized plasmas with low-frequency magnetic perturbations by a gyrokinetic Ampere-Poisson model
Shuangxi Zhang
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…
Guiding-center kinetic model based on the assumption of homogeneous distribution over gyrophase
Shuangxi Zhang
The purpose of this paper is to develop a simplified model as the modeling of the magnetized plasmas. The starting point is an assumption that the distribution of the ensemble of c…
A multi-parameter Lie transform method applied to the transform of the Lagrangian differential one-form
Shuangxi Zhang
In this paper, to fit the multi-scale perturbations, the single-parameter Lie transform perturbation theory given in [Ann Phys, 151 1 (1983)] is generalized to a multi-parameter ca…
Deriving the trajectory equations of gyrocenter with a multi-parameter Lie transform method
Shuangxi Zhang
It's pointed out that the values of the generators derived by the modern gyrokinetic theory are inappropriately amplified by the pullback transform with the existence of electromag…
Gyrokinetic resonant theory of low frequency electromagnetic perturbation
Shuangxi Zhang
It's pointed out that the traditional gyrokinetic theory dealing with low frequency electromagnetic perturbation violates the near identity transformation, which is supposed to be…
Resonant terms on gyrocenter coordinates introduced by resonant electromagnetic perturbations
Shuangxi Zhang
It's pointed out that the treatment of the resonant electromagnetic perturbation with the Lie transform method adopted in the gyrokinetic theory generates some nonphysical terms in…
The dispersion modification of electrostatic geodesic acoustic mode by electron geodesic drift current
Shuangxi Zhang
The past studies treated the perturbed distribution of circulating electrons as adiabatic one when studying the dispersion relation of electrostatic geodesic acoustic mode(GAM). In…