Maple code for the calculation of the matrix elements of the Boltzmann collision operators for mixtures

Abstract A Maple code is provided which is used to compute the matrix elements of the collision operators in the Boltzmann equation for arbitrary differential elastic collision cross section. The present paper describes an efficient method for the calculation of the matrix elements of the collision operators in the Sonine basis set. The method employs the generating functions for these polynomials. The transport properties of gaseous mixtures of atoms and/or ions are generally determined from solution... Title of program: MCBC Catalogue Id: AEGJ_v1_0 Nature of problem The representation of the collision operators in the Boltzmann equation in the basis set of Sonine (Laguerre) polynomials. Versions of this program held in the CPC repository in Mendeley Data AEGJ_v1_0; MCBC; 10.1016/j.cpc.2010.05.011 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)**摘要** 本文提供一段Maple代码，可用于针对任意微分弹性碰撞截面，计算玻尔兹曼（Boltzmann）方程中碰撞算符的矩阵元。本文描述了一种基于索宁（Sonine）基组求解碰撞算符矩阵元的高效方法，该方法借助此类多项式的生成函数完成计算。原子与/或离子的气体混合物的输运性质，通常可通过求解…… 程序名称：MCBC 目录编号：AEGJ_v1_0 **问题属性** 将玻尔兹曼方程中的碰撞算符，以索宁（拉盖尔，Sonine (Laguerre)）多项式构成的基组进行表示。 **收录版本信息** 本程序收录于Mendeley数据中的《计算机物理学报（Computer Physics Communications, CPC）》程序库，对应版本为： AEGJ_v1_0; MCBC; 10.1016/j.cpc.2010.05.011 本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2018）。