| 脉冲堆有限裂变链长的数学期望值分析(英文) |
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| 引用本文： | 刘建军,邹志高,张本爱.脉冲堆有限裂变链长的数学期望值分析(英文)[J].原子核物理评论,2007,24(1):80-84. |
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| 作者姓名： | 刘建军 邹志高 张本爱 |
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| 作者单位： | 北京应用物理与计算数学研究所, 北京 100088 |
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| 基金项目： | 中国工程物理研究院基金资助项目(2002y94)~~ |
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| 摘 要： | 讨论了在一个增殖系统引发一个持续裂变链所需要的平均中子数。在点堆模型基础上, 考虑了在 t0 时刻系统引入一个源中子, 在 t 时刻产生 n 个中子的概率(n, t0, t), 推导了概率生成函数 G(z; t0, t)所满足的偏微分方程, 并得到了近似解。用近似解计算了Godiva II脉冲堆的有限裂变链长数学期望值, 有限裂变链期望值反比于脉冲堆的反应性。
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| 关 键 词： | 脉冲堆 临界核系统 有限裂变链 |
| 文章编号： | 1007-4627（2007）01-0080-05 |
| 收稿时间： | 1900-01-01 |
| 修稿时间： | 2006-04-25 |
Expected Value of Finite Fission Chain Lengths of Pulse Reactors |
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| LIU Jian-jun,ZHOU Zhi-gao,ZHANG Ben-ai.Expected Value of Finite Fission Chain Lengths of Pulse Reactors[J].Nuclear Physics Review,2007,24(1):80-84. |
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| Authors: | LIU Jian-jun ZHOU Zhi-gao ZHANG Ben-ai |
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| Institution: | Institute of Applied Physics and Computational Mathematics Beijing, Beijing 100088, China |
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| Abstract: | The average neutron population necessary for sponsoring a persistent fission chain in a multiplying system, is discussed. In the point reactor model, the probability functionν(n,t0,t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z;t0,t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical system. For the pulse reactor Godiva-Ⅱ, the mean value of finite fission chain lengths is estimated in this work and shows that the estimated value is reasonable for the experimental analysis. |
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| Keywords: | pulse reactor critical nuclear system finite fission chain |
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