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Through using the basic probability theory and establishing the law of finite chains near the prompt criticality, we deduce the formula of relation between the neutrons number and time in the process of persistent chains initiated by a single-pulse neutron source in burst reaction. The formula is validated by the experiments of CFBR-Ⅱ. The formula is the development of Hansen theory model because it can describe not only the developing tendency in the later stages but also the rapid increasing of neutron number in the early stage. Furthermore, according to the relation between the initial time of burst reaction and the intensity of neutron source, we illustrate that the initial time is hardly dependent on the intensity of weak neutron source.
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Keywords:
- persistent fission chains /
- burst reactors /
- the initial time
[1] Zhong J, Chen W, Yang J, Wang D H, Chen D 2001 Physics 30 693 (in Chinese) [钟洁, 陈伟, 杨军, 王道华, 陈 达 2001 物理 30 693]
[2] Chen W Z, Zhu B L, Hao F 2004 Acta Phys. Sin. 53 2486 (in Chinese) [陈文振, 朱波黎, 浩峰 2004 物理学报 53 2486]
[3] Wimett T F, White R H, Stratton W R, Wood D P 1960 Nucl. Sci. Eng. 8 691
[4] Williams M M R 1974 Random Processes in Nuclear Reactors (Oxford: Pergamon Press) pp50–58
[5] Xie Q L, Fan X Q, Liu H G, Yang C D, He R F 2011 At. Energ. Sci. Technol. 45 641 (in Chinese) [谢奇林, 范晓强, 刘汉刚, 杨成德, 贺仁辅 2011 原子能科学技术 45 641]
[6] Nolen S D, Spriggs G D 2001 Ann. Nucl. Energ. 28 509
[7] Gao H, Xie Q L, Liu X B, Fan X Q 2012 At. Energ. Sci. Technol. 46(S1) 8 (in Chinese) [高辉, 谢奇林, 刘晓波, 范晓强 2012 原子能科学技术 46 (增刊1) 8]
[8] Hansen G E 1960 Nucl. Sci. Eng. 8 709
[9] Zheng C, Song L L 2008 At. Energ. Sci. Technol. 42 10 (in Chinese) [郑春, 宋凌莉 2008 原子能科学技术 42 10]
[10] Xie Q L, Liu H G, Yang C D, He R F, Fan X Q 2010 At. Energ. Sci. Technol. 44 641 (in Chinese) [谢奇林, 刘汉刚, 杨成德, 贺任辅, 范晓强 2010 原子能科学技术 44 641]
[11] Greenman G M, Procassini R J, Clouse C J 2007 A Monte Carlo Method for Calculating Initiation Probability (Lawrence Livermore National Laboratory) UCRL-PROC-228717
[12] Xie Q L, Yin Y P, Gao H, Huang P, Fan X Q 2012 At. Energ. Sci. Technol. 46 (S1) 4 (in Chinese) [谢奇林, 尹延朋, 高辉, 黄坡, 范晓强 2012 原子能科学技术 46 (增刊1) 4]
[13] He R F, Deng M C 2012 Experiments and Physics on Fast-Neutron Critical Facilities and Pulsed Reactors (Bejing: National Defence Industry Press)pp13–14 (in Chinese) [贺仁辅, 邓门才2012 快中子临界装置和脉冲堆实验物理 (北京: 国防工业出版社) 第13–14页]
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[1] Zhong J, Chen W, Yang J, Wang D H, Chen D 2001 Physics 30 693 (in Chinese) [钟洁, 陈伟, 杨军, 王道华, 陈 达 2001 物理 30 693]
[2] Chen W Z, Zhu B L, Hao F 2004 Acta Phys. Sin. 53 2486 (in Chinese) [陈文振, 朱波黎, 浩峰 2004 物理学报 53 2486]
[3] Wimett T F, White R H, Stratton W R, Wood D P 1960 Nucl. Sci. Eng. 8 691
[4] Williams M M R 1974 Random Processes in Nuclear Reactors (Oxford: Pergamon Press) pp50–58
[5] Xie Q L, Fan X Q, Liu H G, Yang C D, He R F 2011 At. Energ. Sci. Technol. 45 641 (in Chinese) [谢奇林, 范晓强, 刘汉刚, 杨成德, 贺仁辅 2011 原子能科学技术 45 641]
[6] Nolen S D, Spriggs G D 2001 Ann. Nucl. Energ. 28 509
[7] Gao H, Xie Q L, Liu X B, Fan X Q 2012 At. Energ. Sci. Technol. 46(S1) 8 (in Chinese) [高辉, 谢奇林, 刘晓波, 范晓强 2012 原子能科学技术 46 (增刊1) 8]
[8] Hansen G E 1960 Nucl. Sci. Eng. 8 709
[9] Zheng C, Song L L 2008 At. Energ. Sci. Technol. 42 10 (in Chinese) [郑春, 宋凌莉 2008 原子能科学技术 42 10]
[10] Xie Q L, Liu H G, Yang C D, He R F, Fan X Q 2010 At. Energ. Sci. Technol. 44 641 (in Chinese) [谢奇林, 刘汉刚, 杨成德, 贺任辅, 范晓强 2010 原子能科学技术 44 641]
[11] Greenman G M, Procassini R J, Clouse C J 2007 A Monte Carlo Method for Calculating Initiation Probability (Lawrence Livermore National Laboratory) UCRL-PROC-228717
[12] Xie Q L, Yin Y P, Gao H, Huang P, Fan X Q 2012 At. Energ. Sci. Technol. 46 (S1) 4 (in Chinese) [谢奇林, 尹延朋, 高辉, 黄坡, 范晓强 2012 原子能科学技术 46 (增刊1) 4]
[13] He R F, Deng M C 2012 Experiments and Physics on Fast-Neutron Critical Facilities and Pulsed Reactors (Bejing: National Defence Industry Press)pp13–14 (in Chinese) [贺仁辅, 邓门才2012 快中子临界装置和脉冲堆实验物理 (北京: 国防工业出版社) 第13–14页]
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