Stochastic point kinetics equations in nuclear reactor dynamics
Hayes, James G.
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A system of Itô stochastic differential equations is derived that model the dynamics of the neutron density and the delayed neutron precursors in a point nuclear reactor. The stochastic model is tested against Monte Carlo calculations and experimental data. The results demonstrate that the stochastic differential equation model accurately describes the random behavior of the neutron density and the precursor concentrations in a point reactor.