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arXiv 1909.05036physics.plasm-ph
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具有多项式变换的回旋理论:离子和电子的最大有序模型

Gyrokinetic theory with polynomial transforms: a model for ions and electrons in maximal ordering

Edoardo Zoni, Stefan Possanner

摘要:

我们提出了一种新的推导的回旋运动场粒子拉格朗日的非碰撞离子-电子等离子体在磁场背景的强烈变化(最大排序)。我们的方法遵循两步还原过程,其中引导中心坐标变换之后是单粒子相空间中的陀螺中心坐标变换。第一次,这两个步骤都在一个独特的方法,基于近身份的坐标变换构造为多项式变换。这些都是定义良好的变换,由有限数量的项组成,这些项相对于生成函数是线性和代数的。推导是在一个完全无量纲的框架内进行的,基于磁聚变实验ASDEX升级和ITER的参数。我们的方法导致一个gyrokinetic的离子和电子的Vlasov-Maxwell模型,而不使用Lie微扰方法。结果发现,基于所采用的排序,曲率项,如陀螺仪项和Baños漂移出现在一阶的离子哈密顿量,而离子极化项只出现在二阶。相比之下,曲率项是缺席的一阶电子哈密顿,而不是磁颤振发挥作用。

英文摘要:

We propose a novel derivation of the gyrokinetic field-particle Lagrangian for non-collisional ion-electron plasmas in a magnetic background with strong variations (maximal ordering). Our approach follows the two-step reduction process, where the guiding-center coordinate transformation is followed by the gyrocenter coordinate transformation in the single-particle phase space. For the first time both steps are addressed within a unique methodology, based on near-identity coordinate transformations constructed as polynomial transforms. These are well-defined transformations composed of a finite number of terms that are linear and algebraic with respect to the generating functions. The derivation is carried out in a fully non-dimensional framework, based on parameters governing the magnetic fusion experiments ASDEX Upgrade and ITER. Our method leads to a gyrokinetic Vlasov-Maxwell model for ions and electrons, derived without the use of Lie perturbation methods. It is found that, based on the employed ordering, curvature terms such as the gyro-gauge term and the Baños drift appear at first order in the ion Hamiltonian, whereas ion polarization terms appear only at second order. By contrast, curvature terms are absent from the first-order electron Hamiltonian, where instead magnetic flutter plays a role.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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