The Gyro-Kinetic Approximation. An attempt at explaining the method based on Darboux Algorithm and Lie Transform
Functional Analysis
2011-11-09 v1 Mathematical Physics
math.MP
Symplectic Geometry
Plasma Physics
Abstract
This Proceeding presents the method that allows us to get the Gyro-Kinetic Approximation of the Dynamical System satisfied by the trajectory of a particle submitted to a Strong Magnetic Field. The goal of the method is to build a change of coordinates in order to make the dynamic of two components of the trajectory to disappear. This change of coordinates is based on a Darboux mathematical Algorithm and on a Lie Transform
Keywords
Cite
@article{arxiv.1111.1510,
title = {The Gyro-Kinetic Approximation. An attempt at explaining the method based on Darboux Algorithm and Lie Transform},
author = {Emmanuel Frenod and Mathieu Lutz},
journal= {arXiv preprint arXiv:1111.1510},
year = {2011}
}