الفهرس 
Probability distribution of neutrons and precursorsOnly 14 pages are availabe for public view
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Abstract
In this thesis, we present an extensive study of kinetic systems with one and two energy groups. In the first chapter, we deduced the PDF and the PGF of one energy group kinetic systems. Then we deduced the differential equa- tions for the rate of change of both neutrons and delayed neutron precursors in nuclear reactors. Some of approximate solutions for both the PDF and the PGF in simple cases were introduced. For example, the PDF and the PGF were presented in the case that they depend on prompt neutrons only with the two assumptions (zero external source, constant external source). We also studied an approximate value of the PGF in systems where the neutron lifetime is much smaller than the lifetime of the precursor. Moreover, we studied the case of the PGF as a function of the precursor F(y, t), P(m, t) only. In the second chapter, we dealt with kinetic systems with one energy group to compute some statistical properties. We developed the PDF by introducing a new concept called the detector, which is an important tool for recording the events that occur. Then we deduced the first order differential equations, which give the first moments of the PDF, and the second order differential equations, which represent variance and covariance. By solving these differential equations using the Feynman technique and the Laplace transform, we obtained the variance V ar(t). Accordingly, we calculated some statistical properties such as the variance, the auto-correlation function ϕnn(τ ) and the auto-power spectral density .