The purpose of this paper is to bridge kinetic plasma descriptions and low-frequency single-fluid models. More specifically, the asymptotics leading to magnetohydrodynamic regimes starting from the Vlasov–Maxwell system are investigated. The analogy with the derivation, from the Vlasov–Poisson system, of a fluid representation for ions coupled to the Boltzmann relation for electrons is also outlined. The aim is to identify asymptotic parameters explaining the transitions from one microscopic description to a macroscopic low-frequency model. These investigations provide groundwork for the derivation of multi-scale numerical methods, model coupling or physics-based preconditioning.

中文翻译：

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桥接动力学等离子体描述和单流体模型

本文的目的是连接动力学等离子体描述和低频单流体模型。更具体地说，研究了从 Vlasov-Maxwell 系统开始导致磁流体动力学状态的渐近性。还概述了从 Vlasov-Poisson 系统推导离子的流体表示与电子的玻尔兹曼关系耦合的类比。目的是识别渐近参数来解释从一种微观描述到宏观低频模型的转变。这些研究为推导多尺度数值方法、模型耦合或基于物理的预处理提供了基础。