arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1409.0262physics.plasm-phphysics.space-ph
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无碰撞磁重联的多流体矩模型与Particle-in-Cell模拟的比较

Comparison of multi-fluid moment models with Particle-in-Cell simulations of collisionless magnetic reconnection

Liang Wang, Ammar H. Hakim, A. Bhattacharjee, K. Germaschewski

摘要:

在无碰撞磁重联的背景下,我们引入了一个可扩展的多流体矩模型。该模型演化完整的麦克斯韦方程组,并同时为每个物种在等离子体的弗拉索夫-麦克斯韦方程的时刻。电子惯性和压力梯度等效应自洽地嵌入到所得到的多流体矩方程中,而不需要显式地求解广义欧姆定律。两个限制的多流体矩模型进行了讨论,即,五个时刻的限制,每个物种的标量压力的演变,和十个时刻的限制,演变的全各向异性,非gyrotropic压力张量为每个物种。我们首先证明,分析和数值,五矩模型减少到广泛使用的霍尔磁流体力学(霍尔MHD)模型的假设下消失的电子惯性,无限的光速,和准中性。然后,我们比较了十矩和完全动力学粒子在细胞(PIC)模拟的大规模哈里斯片重联问题,其中十矩方程封闭的局部线性无碰撞近似的热通量。十矩模拟给出了合理的协议与PIC结果的结构和大小的电子流,极性和大小的电子压力张量的元素,和广义欧姆定律的分解。本文还讨论了改进简单局部封闭向非局部全三维封闭的可能途径。

英文摘要:

We introduce an extensible multi-fluid moment model in the context of collisionless magnetic reconnection. This model evolves full Maxwell equations, and simultaneously moments of the Vlasov-Maxwell equation for each species in the plasma. Effects like electron inertia and pressure gradient are self-consistently embedded in the resulting multi-fluid moment equations, without the need to explicitly solving a generalized Ohms's law. Two limits of the multi-fluid moment model are discussed, namely, the five-moment limit that evolves a scalar pressures for each species, and the ten-moment limit that evolves the full anisotropic, non-gyrotropic pressure tensor for each species. We first demonstrate, analytically and numerically, that the five-moment model reduces to the widely used Hall Magnetohydrodynamics (Hall MHD) model under the assumptions of vanishing electron inertia, infinite speed of light, and quasi-neutrality. Then, we compare ten-moment and fully kinetic Particle-In-Cell (PIC) simulations of a large scale Harris sheet reconnection problem, where the ten-moment equations are closed with a local linear collisionless approximation for the heat flux. The ten-moment simulation gives reasonable agreement with the PIC results regarding the structures and magnitudes of the electron flows, the polarities and magnitudes of elements of the electron pressure tensor, and the decomposition of the generalized Ohm's law. Possible ways to improve the simple local closure towards a nonlocal fully three-dimensional closure are also discussed.

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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