论文信息 - On the properties of the chord length distribution, from integral geometry to reactor physics

On the properties of the chord length distribution, from integral geometry to reactor physics

Abstract In a couple of recent papers, Sjostrand [Ann Nucl Eng 29 (2002) 1607] and Kruijf and Kloosterman [Ann Nucl Eng 30 (2003) 549] addressed the question of the meaning of the average chord length in reactor physics. This paper offers a link between integral geometry (where chord length distribution and its properties come from) and its applications in reactor physics. In particular we specify which relations between chord length moments and simple geometric properties of the body remain valid for non-convex bodies. Monte Carlo simulations illustrates these points.

Alain Mazzolo | C. M. Diop | Benoı̂t Roesslinger

[1] K. M. Case,et al. Introduction to the theory of neutron diffusion, v.1 , 1953 .

[2] E. Larsen. On the Chord Length Across a System , 1980 .

[3] Dual kinematic formulas , 1999 .

[4] L. Santaló. Integral geometry and geometric probability , 1976 .

[5] N. G. Sjöstrand. What is the average chord length , 2002 .

[6] R. V. Ambartzumian,et al. Factorization calculus and geometric probability: Combinatorial integral geometry , 1990 .

[7] Eugene P. Wigner,et al. The Physical Theory of Neutron Chain Reactors , 1958 .

[8] Jan Leen Kloosterman,et al. On the average chord length in reactor physics , 2003 .

[9] W. Gille. Chord length distributions and small-angle scattering , 2000 .

[10] Alain Mazzolo,et al. Monte-Carlo simulation of the chord length distribution function across convex bodies, non-convex bodies and random media , 2004, Monte Carlo Methods Appl..