https://doi.org/10.1051/epjconf/201920108004
The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
The State Scientific Institution «The Joint Institute for Power and Nuclear Research – Sosny» of the National Academy of Sciences of Belarus, 220109 Minsk, Republic of Belarus
* Corresponding author: max.slevin.grey@gmail.com
Published online: 4 February 2019
The functional form of nuclei decay for a finite number of particles within sub-Poisson distribution terms and time scale discretisation were considered. The mathematical apparatus for particles’ birth and death model with respect to the theory of a nuclear thermal point-reactor was made. During research the fundamental curves, the exponential dependence of neutron generation lifetime and state decay possibility were obtained for a thermal reactor breeding medium. Main parameter of a breeding (neutron multiplication factor K) was obtained through mathematical functions considered.
© The Authors, published by EDP Sciences, 2018
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