柱形电磁等离子体模拟的谱辛算法
A Spectral Symplectic Algorithm for Cylindrical Electromagnetic Plasma Simulations
摘要：
Hamilton系统的辛积分器在研究少体动力学系统方面已经取得了相当成功的结果。这些积分器经常使用建立在辛映射上的形式主义导出。最近有努力扩展辛方法等离子体，主要集中在离散拉格朗日力学。在本文中，我们推导出一个辛电磁宏粒子算法使用的地图形式。由此产生的算法旨在防止数值不稳定性，如数值Čerenkov，这是由于不正确的色散关系的领域，以及人为加热等离子体，这是由传统的粒子在细胞算法的非辛性质。这是第一个自洽的电磁算法使用基于地图的方法。
英文摘要：
Symplectic integrators for Hamiltonian systems have been quite successful for studying few-body dynamical systems. These integrators are frequently derived using a formalism built on symplectic maps. There have been recent efforts to extend the symplectic approach to plasmas, which have focused primarily on discrete Lagrangian mechanics. In this paper, we derive a a symplectic electromagnetic macroparticle algorithm using the map formalism. The resulting algorithm is designed to prevent numerical instabilities such as numerical Čerenkov, which result from incorrect dispersion relations for the fields, as well as the artificial heating of plasmas, which arise from the non-symplectic nature of conventional particle-in-cell algorithms. This is the first self-consistent electromagnetic algorithm derived using a map-based approach.
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