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电磁漂移动力学粒子云模型及其能量和电荷守恒用于研究有限$\eta$等离子体

Electromagnetic drift-kinetic particle-in-cell model with energy and charge conservation for studying finite-$β$ plasmas

O. P. Morozov, V. A. Kurshakov, I. V. Timofeev

arXiv 2610.01429首次发表:更新:

发表机构

Novosibirsk State University; Budker Institute of Nuclear Physics SB RAS(新西伯利亚国立大学; 布德刻尔核物理研究所(俄罗斯科学院西伯利亚分院))

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出一种漂移动力学电子描述的电磁粒子云模型,通过自洽插值实现能量和电荷守恒,可研究有限β等离子体平衡形成,并验证了抗磁效应和离子声波。

AI 中文摘要

本文提出了完全隐式能量和电荷守恒电磁粒子云方法的一种推广,适用于最轻的等离子体粒子(电子)以漂移动力学近似描述的情形。这使我们能够消除该方法中需要解析电子回旋运动的非常严格的时间步长限制。由于漂移动力学模型仅适用于对等离子体极化贡献较小的轻粒子,该模型可以通过忽略电子极化漂移并仅在麦克斯韦方程中加入回旋中心电流和磁化电流来进一步简化。为了使这种混合模型在有限差分形式下保持守恒性质,提出了一种从网格到粒子的镜像力中$\ abla B$以及从粒子到网格的磁化矢量的自洽插值方法。与现有的漂移动力学模型不同,该模型不限于考虑给定平衡附近的小扰动,因此允许研究等离子体与磁场压力之比有限的情况下等离子体平衡的形成。使用PETSc库用C++实现的并行代码测试证实了有限差分能量和电荷守恒定律的满足,以及该模型(在所有类型粒子的漂移动力学版本中)正确再现抗磁效应和纵向离子声波的能力。

英文摘要

The paper proposes a generalization of the fully implicit energy- and charge-conserving electromagnetic particle-in-cell method to the case where the lightest type of plasma particle (electrons) is described in the drift-kinetic approximation. This allows us to remove the very strict time step limitation of this method requiring to resolve the gyrorotation of electrons. Since the drift-kinetic model is only applicable to light particles whose contribution to plasma polarization is small, this model can be further simplified by neglecting the electron polarization drift and including in Maxwell's equations, in addition to the current of gyrocenters, only the magnetization current. In order for such a hybrid model to retain conservative properties in finite-difference form, a method of self-consistent interpolation of $\nabla B$ in the mirror force from grid to particle and the magnetization vector from particle to grid is proposed. Unlike existing drift-kinetic models, this model is not limited to considering small perturbations near a given equilibrium, and therefore allows one to study the formation of plasma equilibria in regimes with a finite ratio of plasma to magnetic field pressure. Testing of the parallel code implemented in C++ using the PETSc library confirmed the fulfillment of the finite-difference laws of energy and charge conservation, as well as the ability of the model (in the drift-kinetic version for all types of particles) to correctly reproduce the diamagnetic effect and longitudinal ion-acoustic wave.

Comments26 pages, 7 figures. Submitted to Journal of Computational Physics

论文原文

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