| BOLTZMANN方程与碰撞矩阵元的计算 |
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| 引用本文： | 向安平,朱世德,任基,谢文. BOLTZMANN方程与碰撞矩阵元的计算[J]. 成都信息工程学院学报, 1997, 0(3) |
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| 作者姓名： | 向安平 朱世德 任基 谢文 |
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| 作者单位： | 成都气象学院基础科学系，四川联合大学原子分子科学研究所 |
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| 摘 要： | 作者用Ｂｕｒｎｅｔｔ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Ｂｒｏｄｙ－Ｍｏｓｈｉｎｓｋｙ系数的计算。为了提高计算效率，作者将这些系数用超几何函数予以表示，并由此提出了高效的计算方法。
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| 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－Gordan系数；Brody－Moshinsky系数 |
BOLTZMANN EQUATION AND CALCULATION OF ITS COLLISION MATRIX ELEMENTS |
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| Xiang Anping Zhu Shide Ren Ji. BOLTZMANN EQUATION AND CALCULATION OF ITS COLLISION MATRIX ELEMENTS[J]. Journal of Chengdu University of Information Technology, 1997, 0(3) |
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| Authors: | Xiang Anping Zhu Shide Ren Ji |
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| Abstract: | The molecular velocity distribution function and the Boltzmann equation in the kinetic theory of gases are expanded in a basis of orthogonal Burnett functions.Hence the calculation of the Boltzmann collision matrix elements can be realized by evaluating the reduced integrals,the Clebsch Gordan coefficient and the Brody Moshinsky coefficients.These coefficients are expressed by the hypergeometric functions and a method with high efficiency in computations in presented. |
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| Keywords: | Expansion of velocity distribution function in Burmett functions Boltzmann collision matrix element Reduced integrala Clebsch Gordan coefficient Brody Moshinsky coefficient. |
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