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Geometric and material buckling
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Geometric and material buckling : ウィキペディア英語版
Geometric and material buckling

In a nuclear reactor, criticality is achieved when the rate of neutron production is equal to the rate of neutron losses, including both neutron absorption and neutron leakage. Geometric buckling is a measure of neutron leakage, while material buckling is a measure of neutron production minus absorption. Thus, in the simplest case of a bare, homogeneous, steady state reactor, the geometric and material buckling must be equal.
==Derivation==

Both buckling terms are derived from the diffusion equation:
-D \nabla^2 \Phi + \Sigma_a \Phi = \frac \nu \Sigma_f \Phi.
where k is the criticality eigenvalue, \nu is the neutrons per fission, \Sigma_f is the macroscopic cross section for fission, and from diffusion theory, the diffusion coefficient is defined as:
D=\frac.
In addition, the diffusion length is defined as:
L=\sqrt}.
Rearranging the terms, the diffusion equation becomes:
-\frac = \frac-1} = ^2.
The left side is the material buckling and the right side of the equation is the geometric buckling.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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