Abstract
A ‘neutron-temperature random process’ is formulated by means of a probability generating function technique. The model accounts for the effect of the negative temperature feedback by treating the temperature as a continuous random variable, thereby making possible the computation of the expected values of the temperature, neutron and cumulative fission densities as well as their standard deviations. The special relationship of the stochastic behavior of the nuclear reactor to safety considerations is discussed. Typical numerical results are presented related to startup accidents and Anticipated Transient Without Scram (ATWS) in thermal reactors.
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