@inproceedings{32a8ad57c1c443aeb002411593febda1,
title = "The Stochastic Point Reactor Equation with Thermal Feedback",
abstract = "Modeling and simulation of stochastic fission chains is central to the subject of reactor noise which has important practical applications in reactor control and measurements. One of the most classic works, modeling the stochastic fission chains in a reactor with thermal feedback is due to Harris (1958), where a discretization of the energy bins is preformed, to allow use of the Master equation technique. In the present study we will construct an Ito type SDE counterpart to the classic Harris model. In particular, we will start by defining the drift and the noise amplitude for each of the variables in the system. Then we will compute from first principles the covariance between the system variables, and finally, we will prove that the Harris model and the SDE model have a very strong common feature: they share the exact same second moment equations.",
keywords = "Master equation, Stochastic differential equations, Stochastic transport, diffusion scale approximation, thermal feedback",
author = "Chen Dubi and Prinja, \{Anil K.\}",
note = "Publisher Copyright: {\textcopyright} 2025 AMERICAN NUCLEAR SOCIETY, INCORPORATED, WESTMONT, ILLINOIS 60559; 2025 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2025 ; Conference date: 27-04-2025 Through 30-04-2025",
year = "2025",
month = jan,
day = "1",
doi = "10.13182/MC25-46265",
language = "English",
series = "Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2025",
publisher = "American Nuclear Society",
pages = "1996--2005",
booktitle = "Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2025",
address = "United States",
}