柱对称等离子体中逃逸概率近似表达式

计算物理 ›› 1995, Vol. 12 ›› Issue (3): 401-406.

柱对称等离子体中逃逸概率近似表达式

蓝可, 张毓泉

北京应用物理与计算数学研究所, 北京8009 信箱, 100088

收稿日期:1994-03-29 修回日期:1995-02-11 出版日期:1995-09-25 发布日期:1995-09-25

APPROXIMATE EXPRESSION FOR ESCAPE PROBABILITY IN A CYLINDRICALLY EXPANDING MEDIUM

Lan Ke, Zhang Yuquan

Institute of applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088

Received:1994-03-29 Revised:1995-02-11 Online:1995-09-25 Published:1995-09-25

摘要/Abstract

摘要： 柱对称等离子体中谱线逃逸概率公式含有五重复杂的数值积分.采用源缓交近似又速度线性近似,对多普勒线型,由中间值定理给出逃逸概率近似表达式.近似表达式为含误差函数的一重高斯型积分,数值计算大大化简.对物理上感兴趣的速度常数项与线性项之比绝对值<1,且逃逸概率>0.1的情况,近似表达式误差最大不超过7%;速度常数项为零时,误差<1%.

关键词: 逃逸概率, 柱对称等离子体

Abstract: An approximate expression for escape probability for Doppler Profile lines in a cylindrically expanding medium is obtained in this paper. The complicated quintuple integral griving escape probability is approximated by a simple integral which has a Gauss-shaped integrand. The largest error is no more than 7%.

Key words: escape probability, exanding cylindrical medium

中图分类号:

蓝可, 张毓泉. 柱对称等离子体中逃逸概率近似表达式[J]. 计算物理, 1995, 12(3): 401-406.

Lan Ke, Zhang Yuquan. APPROXIMATE EXPRESSION FOR ESCAPE PROBABILITY IN A CYLINDRICALLY EXPANDING MEDIUM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 12(3): 401-406.