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Akcasu Z., Lellouche G.S., Shotkin L.M. Mathematical methods in nuclear reactor dynamics

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Akcasu Z., Lellouche G.S., Shotkin L.M. Mathematical methods in nuclear reactor dynamics
Academic Press, New York. London, 1971. – 465 pp.
Reactor dynamics is concerned with the time behavior of the neutron population in an arbitrary medium whose nuclear and geometric properties may vary in time. The first step in reactor dynamics is to introduce and define the macroscopic physical quantities and the dynamical variables that describe the medium and the neutron population in sufficient detail. The second step is to find time-dependent equations that interrelate the various dynamical variables in terms of the nuclear, thermal, and mechanical properties of the medium, and to determine the time evolution of the neutron population. These equations are the kinetic equations which we wish to discuss in this chapter. The last and most difficult step is to introduce analytical and numerical techniques in order to solve the kinetic equations either rigorously or approximately, and to extract all the information relevant to the performance and safety of the reactor as well as the power plant as a whole.
Contents.
Kinetic Equations.
Point Kinetic Equations.
Exact Solutions of the Point Kinetic Equations without Feedback.
Approximate Solutions of the Point Kinetic Equations without Feedback.
Mathematical Description of Feedback.
Linear Stability Analysis.
Nonlinear Stability Analysis.
Index.
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