论文标题
一维静电等离子体模型的注释
Notes on a 1-dimensional electrostatic plasma model
论文作者
论文摘要
得出VLASOV方程的一个起点是描述边缘分布函数的动力学的BBGKY层次结构。有了很大的等离子体参数，一个可以证明以1分函数来消除2分相关的合理性，以得出Vlasov Landau Lenard Balescu（VLLB）理论。由于问题的高维度，数值测试VLLB理论的假设是过于刺激的。在这些注释中，我们提出了一个具有物理合理的交互模型，该模型降低了问题的维度，并可能带来了此类计算。我们介绍了一个1维（1-D）静电等离子体模型，该模型是根据相反的带电磁盘的相互作用而配制的。该模型在短距离内结合了一维特征，并且在大距离上结合了3维特征。
A starting point for deriving the Vlasov equation is the BBGKY hierarchy that describes the dynamics of coupled marginal distribution functions. With a large value of the plasma parameter one can justify eliminating 2-point correlations in terms of the 1-point function in order to derive the Vlasov Landau Lenard Balescu (VLLB) theory. Because of the high dimensionality of the problem, numerically testing the assumptions of the VLLB theory is prohibitive. In these notes we propose a physically reasonable interaction model that lowers the dimensionality of the problem and may bring such computations within reach. We introduce a 1-dimensional (1-D) electrostatic plasma model formulated in terms of the interaction of parallelly-aligned charged disks. This model combines 1-dimensional features at short distances and 3-dimensional features at large distances.
