发表机构
School of Science, Harbin Institute of Technology; Shenzhen Key Laboratory of Numerical Prediction for Space Storm, Harbin Institute of Technology, Shenzhen（哈尔滨理工大学理学院; 深圳大学空间风暴数值预测重点实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对天体物理等领域的输运方程，推导得到呈对数形式的动量输运等系数，填补了相关统计量空白，为分数阶输运方程提供了矩基系数表达式。
AI 中文摘要
描述传播特性的输运方程系数在天体物理学、行星际物理学和实验等离子体物理学中尤为重要。本文研究与变量相关的扩散系数，针对动量输运方程，发现其系数与统计量相关，其中部分统计量为新发现；这些系数呈对数形式，与已有文献推导的结果不同。针对各向同性投角散射，本文还得到一个对数形式的公式；针对分数阶输运方程，从控制方程中得到了用矩表示的系数。
英文摘要
The coefficients of the transport equations, describing the propagation features, are particularly important in astrophysics, interplanetary physics, and experimental plasma physics. In this paper, the variable-dependent diffusion coefficients are investigated. For the momentum transport equations, we find that the coefficients are related to statistical quantities, some of which are new. In addition, these coefficients take logarithmic forms, which are different from the results derived in previous papers. For isotropic pitch-angle scattering, we also obtain a formula that takes a logarithmic form. For fractional transport equations, the coefficients expressed in terms of the moments are obtained from the governing equations.
