点堆随机动力学微分方程的推导  

Deduce on Stochastic Dynamic Differential Equations for Reactor

作　　者：刘建军[1] 朱家彩 王瑞利[1] 傅学东[1] 任键 LIU Jianjun;ZHU Jiacai;Wang Ruili;FU Xuedong;REN Jian(Institute of Applied Physics and Computational mathematics,Beijing 100088,China)

机构地区：[1]北京应用物理与计算数学研究所,北京100088

出　　处：《核科学与工程》2020年第2期204-210,共7页Nuclear Science and Engineering

基　　金：国家自然科学基金资助项目(11475029)。

摘　　要：针对弱中子源反应堆启动过程中的中子数密度和缓发中子先驱核随机涨落现象,本文将随机微积分理论引入了反应堆物理研究,在点堆模型的假定下,推导了可描述这一涨落现象的反应堆随机动力学微分方程组,重点介绍了这一物理问题和方程组的推导过程。In this paper,stochastic calculus theory is introduced into reactor physics to deal with the phenomenon of stochastic fluctuation of neutron number density and delayed neutron precursor nuclei in the start-up process of weak neutron source reactor.Under the assumption of point reactor model,the reactor stochastic dynamic differential equations describing this fluctuation phenomenon are derived and established.

关 键 词：核反应堆 随机微积分 反应堆随机动力学 弱中子源 

分 类 号：TL32[核科学技术—核技术及应用]