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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。
The average number of neutrons needed to initiate a sustained fission chain in a proliferation system is discussed. Based on the point-stack model, the probability (n, t0, t) that a system introduces a neutron at t0 and n neutrons at t is considered. The probability generation function G (z; t0, t ) Is satisfied by the partial differential equation, and the approximate solution is obtained. The approximate solution was used to calculate the mathematical expectation of the finite fission chain length of the Godiva-II pulsed reactor. The expected value of the finite fission chain was inversely proportional to the reactivity of the pulsed reactor.