Abstract
This paper presents a master equation formulation of the fluctuations of neutron density in a nonlinear power reactor model system perturbed by colored multiplicative noise using the Van Kampen's master equation. The reactivity and power reactivity feedback coefficient are assumed to be stationary stochastic processes with short but finite correlation times. Some statistical characteristics of the neutron density fluctuations, such as moment equations, stationary distribution and stationary moments, are derived and compared with the results calculated for the system with Gaussian white parametric noise. It is shown that in the limit of Gaussian white noise our results converge to those obtained by using the Stratonovich calculus. Some remarks on the divergence between the Stratonovich calculus and the Ito calculus are also given.
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