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Download Advances in Nuclear Science and Technology: Volume 26 by Jeffery Lewins, Martin Becker PDF

By Jeffery Lewins, Martin Becker

ISBN-10: 0306461102

ISBN-13: 9780306461101

On the grounds that its initiation in 1962, this sequence has offered authoritative reports of crucial advancements in nuclear technology and engineering, from either theoretical and utilized views. moreover, many unique contributions are integrated.

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Additional resources for Advances in Nuclear Science and Technology: Volume 26 (Advances in Nuclear Science & Technology)

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It is important to note the fact that in the reactor model (10) [or (30)] one fixed point u0 = 0 corresponds to the zero-power state; the other one u0 = R/g corresponds to the at-power state. After inserting the constant reactivity ρ = ρ o , the zero power state u0 = 0 becomes unstable and u0 = R/g becomes stable. The stability of the two fixed points alters at the transcritical bifurcation point. NONLINEAR STOCHASTIC DYNAMICS Table I 27 Classification of the stability of the fixed points 1. saddle-node: 2.

First, it is important for the stability of the dynamics even in the steady state. Second, the nonlinearity is also contributing to reduce the neutronic variance of fluctuation. Third, when a limit cycle oscillation takes place, its saturated amplitude is determined by the strength of the nonlinearities. , (6) On the other hand, the magnitude of practical observations of neutron fluctuations in power reactors at the steady state are estimated within a few percentage of the total power in PWRs; it takes larger values in BWRs than that of PWRs though.

51). NONLINEAR STOCHASTIC DYNAMICS 31 B. Inclusion of Delayed Neutrons 1. , 1990) : (58) (59) where β, λ are the fraction of precursors and its decay constant. To obtain the exact expressions of the mean values 〈 N 〉 and 〈C 〉 of the system is not a trivial problem due to nonlinearity. So we will take a naive attitude that their values at the steady state are equal to the values of N 0 and C0 without the noise source, viz. FN (t) = FC(t) = k(t) = 0 making use of the result in the previous section that the WongZakai term may compensate the nonlinear term (60) 2.

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