Gyrokinetic Field Theory as a Gauge Transform or: gyrokinetic theory without Lie transforms
Bruce D. Scott
备注：
Version 2 with 34 pages (was 33), no figures. Derivation changed to start from a canonical Lagrangian, using can. momenta from the start as coordinates. Conventional tokamak ordering section moved to after the main derivation
Gyrokinetic theory is a basis for treating magnetised plasma dynamics slower than particle gyrofrequencies where the scale of the background is larger than relevant gyroradii. The energy of field perturbations can be comparable to the thermal energy but smaller than the energy of the background magnetic field. Properly applied, it is a low-frequency gauge transform rather than a treatment of particle orbits, and more a representation in terms of gyrocenters rather than particles than an approximation. By making all transformations and approximations in the field/particle Lagrangian one preserves exact energetic consistency so that time symmetry ensures energy conservation and spatial axisymmetry ensures toroidal angular momentum conservation. This method draws on earlier experience with drift-kinetic models while showing the independence of gyrokinetic representation from particularities of Lie transforms or specific ordering limits, and that the essentials of low-frequency magnetohydrodynamics, including the equilibrium, are recovered. It gives a useful basis for total-f electromagnetic gyrokinetic or gyrofluid computation. Various versions of the representation based upon choice of parallel velocity space coordinate are illustrated.
Second order nonlinear gyrokinetic theory : From the particle to the gyrocenter
回转运动的简化是基于表征背景磁场和波动电磁场的不同小参数的特定排序。在本教程中，我们考虑以下小参数的排序：$ε\_B=ε\_δ^2$其中$ε\_B$是与背景磁场的空间不均匀性相关的小参数，$ε\_δ$表征波动场的小幅度。特别地，我们不对背景磁场的振幅做任何假设。鉴于这种选择的顺序，我们描述了一个独立的和系统的推导，这是特别适合于gyrokinetic减少，以下两个步骤的程序。我们遵循[Sugama，Physics of Plasmas 7，466（2000）]中开发的方法：在第一步中，使用速度平移，我们将在gyrocentre减少的辛部分上进行的变换嵌入到引导中心中。在第二步中，使用正则李变换，我们消除了从哈密顿的陀螺角依赖。因此，我们显式地导出了$ε\_δ$中的二阶全电磁陀螺运动方程。
Minute-Scale High-Fidelity Gyrokinetic Simulations with Portability from Laptop to Supercomputer
Beijing VeloAlpha Technology Co., Ltd.（北京维奥阿尔法科技有限公司）；Future Energy Institute, Shanghai Jiao Tong University（上海交通大学未来能源学院）；Max Planck Institut für Plasmaphysik（马克斯·普朗克等离子体物理研究所）
GyroSwin: 5D Surrogates for Gyrokinetic Plasma Turbulence Simulations
ELLIS Unit, Institute for Machine Learning, JKU Linz（JKU林茨机器学习研究所ELLIS单元）；United Kingdom Atomic Energy Authority, Culham campus（英国原子能局库勒姆校区）；EMMI AI, Linz（林茨EMMI人工智能）
5D Neural Surrogates for Nonlinear Gyrokinetic Simulations of Plasma Turbulence
ELLIS Unit, LIT AI Lab, Institute for Machine Learning, JKU Linz（ELLIS单元、LIT AI实验室、林茨约翰内斯·开普勒大学机器学习研究所）；UKAEA (United Kingdom Atomic Energy Authority)（英国原子能管理局）；Emmi AI GmbH（Emmi AI有限公司）
Response to "Comment on `Modification of Lie's transform perturbation theory for charged particle motion in a magnetic field'" [Phys. Plasmas 30, 104701 (2023)]
