On the average chord length in reactor physics

Kruijf, W.J.M. De; Kloosterman, J.L.

doi:10.1016/s0306-4549(02)00107-x

Cited by 32 publications

(17 citation statements)

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“…The above description of the equivalence theory clarifies that two different parameters are necessary in the equivalence theory, i.e., the average chord length 1,2) (or escape cross section) and the Dancoff factor.…”

Section: Introductionmentioning

confidence: 94%

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Evaluation of Background Cross Section for Heterogeneous and Complicated Geometry by the Enhanced Neutron Current Method

Yamamoto

2008

J. Nucl. Sci. Technol.

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A new approach for evaluating the background cross section for heterogeneous and complicated geometry (the enhanced neutron current method) is presented. The present method utilizes the result of a onegroup fixed source transport calculation in heterogeneous geometry, which can be carried out in short computation time. The background cross section can be evaluated from the total reaction rate in a resonance region. Since the present method can be applied to complicated geometry, it will be useful not only for lattice physics calculation with production codes but also for general purpose neutronics code calculation for advanced reactors. The validity of the present method is confirmed by comparison with that of the conventional method by rational approximation for first-flight collision probability and the Dancoff factor. Calculation results indicate that the background cross sections obtained by both methods are identical.

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Section: Introductionmentioning

confidence: 94%

“…The second parameter, the average chord length ('), can be analytically evaluated by the ratio of surface area to volume in the resonance region, i.e., ' ¼ 4V=S. 2) In the current resonance calculations, these two parameters are evaluated independently. In the present paper, we address this point.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Background Cross Section for Heterogeneous and Complicated Geometry by the Enhanced Neutron Current Method

Yamamoto

2008

J. Nucl. Sci. Technol.

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“…To find the various dosimetric quantities of the simulated tissue, it was necessary to calculate the mean chord length of the hexagonal prism. In a general case for a convex body, the mean geometric chord length, L g , is given by the Dirac formula [17]…”

Section: Numerical Simulationmentioning

confidence: 99%

2-D Gem-Based Tepc for Neutron Protection Dosimetry

Seydaliev¹,

Dubeau²,

Witharana³

2016

CNL Nuclear Review

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“…In fact, this view is equivalent to the equilibrium argument adhered to in this article: the total path made through the different sphere categories should equal their fraction of the total volume. Assuming an isotropic flux of random walkers close to the sphere surfaces (see discussion in [42]), the length of a chord through a sphere of radius r i follows a triangular probability density function f i (x) = x/(2r 2 i ) in 0 ≤ x ≤ 2r i . The average chord being i = 4r i /3 and the mean square chord being 2r 2 i .…”

Section: Sphere Packings As Holey Systemsmentioning

confidence: 99%

Holey random walks: Optics of heterogeneous turbid composites

et al. 2013

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We present a probabilistic theory of random walks in turbid media with nonscattering regions. It is shown that important characteristics such as diffusion constants, average step lengths, crossing statistics, and void spacings can be analytically predicted. The theory is validated using Monte Carlo simulations of light transport in heterogeneous systems in the form of random sphere packings and good agreement is found. The role of step correlations is discussed and differences between unbounded and bounded systems are investigated. Our results are relevant to the optics of heterogeneous systems in general and represent an important step forward in the understanding of media with strong (fractal) heterogeneity in particular.

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On the average chord length in reactor physics

Cited by 32 publications

References 1 publication

Evaluation of Background Cross Section for Heterogeneous and Complicated Geometry by the Enhanced Neutron Current Method

Evaluation of Background Cross Section for Heterogeneous and Complicated Geometry by the Enhanced Neutron Current Method

2-D Gem-Based Tepc for Neutron Protection Dosimetry

Holey random walks: Optics of heterogeneous turbid composites

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