论文标题
$κ$ -COOKBOOK：一种新颖的概括方法，用于统一$κ$样分布的等离子粒子建模
The $κ$-cookbook: a novel generalizing approach to unify $κ$-like distributions for plasma particle modeling
论文作者
论文摘要
在文献中，讨论了不同所谓的$κ$分布函数，以适应和建模太阳风种，拾音器离子或磁层颗粒的速度（或能量）分布。在这里，我们介绍了广义（各向同性）$κ$ - 分布式作为“食谱”，该书本作为特殊情况或“食谱”，所有其他已知版本的$κ$ - 模型。对广义分布函数进行了详细的分析，为速度矩，debye长度和熵提供了一般的分析表达式，并指出了一系列一般要求，即等离子体分布功能应满足。从对文献中发现的食谱进行的对比分析，我们表明它们都导致几乎相同的宏观参数，它们之间的标准偏差很小。但是，这些称为正规化$κ$分布的食谱之一为宏观参数化提供了一种功能替代方法，而无需对幂律指数$κ$限制。
In the literature different so-called $κ$-distribution functions are discussed to fit and model the velocity (or energy) distributions of solar wind species, pickup ions or magnetospheric particles. Here we introduce a generalized (isotropic) $κ$-distribution as a "cookbook", which admits as special cases, or "recipes", all the other known versions of $κ$-models. A detailed analysis of the generalized distribution function is performed, providing general analytical expressions for the velocity moments, Debye length, and entropy, and pointing out a series of general requirements that plasma distribution functions should satisfy. From a contrasting analysis of the recipes found in the literature, we show that all of them lead to almost the same macroscopic parameters with a small standard deviation between them. However, one of these recipes called the regularized $κ$-distribution provides a functional alternative for macroscopic parameterization without any constraint for the power-law exponent $κ$.
