BOLTZMANN碰撞矩阵元的计算

计算物理 ›› 1996, Vol. 13 ›› Issue (3): 366-372.

BOLTZMANN碰撞矩阵元的计算

向安平¹, 朱世德¹, 任基¹, 谢文²

1. 成都气象学院基础科学系, 成都 610041;
2. 四川联合大学原子分子科学研究所, 成都 610064

收稿日期:1995-04-24 修回日期:1996-01-31 出版日期:1996-09-25 发布日期:1996-09-25

CALCULATION OF THE BOLTZMANN COLLISION MATRIX ELEMENTS

Xiang Anping¹, Zhu Shide¹, Ren Ji¹, Xie Wen²

1. Department of Basic sciences, Chengdu Institute of Meteorology, Chengdu 610041;
2. Institute of Atomic & Molecular science, Sichuan Union University, Chengdu 610064

Received:1995-04-24 Revised:1996-01-31 Online:1996-09-25 Published:1996-09-25

摘要/Abstract

摘要： 用Burnet函数作为展开基底表示分子速度分布函数和Boltzmann方程,并由此证明,Boltzmann碰撞矩阵元的计算归结为约化积分、Clebsch-Gordan系数和Mrody-Moshinsky系数的计算。最后,给出了高效的计算方法

关键词: 速度分布函数的Burnet函数展开, Boltzmann碰撞, 矩阵元约化积分, Clebsch-Gorgan系数, Brody-Moshinsky系数

Abstract: The molecular velocity distribution function and Boltzmann equation in the kinetic theory of gases are expanded in basis of the orthogonal Burnett functions. Hence it is shown that the calculation of Boltzmann collision matrix elements can be realized by computing the reduced integrals, Clebsch-Gordan coefficients and Brody-Moshinsky coefficients. Finally the computatimal mathod of high efficiency and numerical examples are given.

Key words: expansion of velocity distribution function in Burnett functions, Boltzmann collision matrix element, reduced integral, Clebsch-Gordan coefficient, Brody-Moshinsky coefficient

中图分类号:

O561.5

向安平, 朱世德, 任基, 谢文. BOLTZMANN碰撞矩阵元的计算[J]. 计算物理, 1996, 13(3): 366-372.

Xiang Anping, Zhu Shide, Ren Ji, Xie Wen. CALCULATION OF THE BOLTZMANN COLLISION MATRIX ELEMENTS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 13(3): 366-372.

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