Expected Value of Finite Fission Chain Lengths of Pulse Reactors

LIU Jian-jun; ZHOU Zhi-gao; ZHANG Ben-ai

doi:10.11804/NuclPhysRev.24.01.080

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. DOI: 10.11804/NuclPhysRev.24.01.080

Citation:

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. DOI: 10.11804/NuclPhysRev.24.01.080

Citation:

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. DOI: 10.11804/NuclPhysRev.24.01.080

Expected Value of Finite Fission Chain Lengths of Pulse Reactors

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The average neutron population necessary for sponsoring a persistent fission chain in a multiplying system, is discussed. In the point reactor model, the probability function (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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Expected Value of Finite Fission Chain Lengths of Pulse Reactors

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