Coupled probabilistic and point kinetics modelling of fast pulses in nuclear systems

Mathematical and computational models for simulating transient nuclear criticality excursions within wetted fissile powder systems

“…The relative strengths and importance of spontaneous fission and (α,n) nuclear reactions depends upon the uranium enrichment of the fuel [35]. For sub-critical systems with weak neutron sources it may be important to model the stochastic fluctuations of the neutron field and this can be achieved using either Monte Carlo methods [47] or the Pál-Bell equations [48,49]. Hansen developed a criterion for determining whether systems were in the weak neutron source regime where stochastic effects dominate [50].…”