Issue |
2014
SNA + MC 2013 - Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo
|
|
---|---|---|
Article Number | 05304 | |
Number of page(s) | 2 | |
Section | 5. Poster Session: c. Monte Carlo Methods for Simulation | |
DOI | https://doi.org/10.1051/snamc/201405304 | |
Published online | 06 June 2014 |
Generalisation of opacity formulas for neutron transport
1 CEA/Saclay, DEN/DM2S/SERMA, 91191 Gif-sur-Yvette Cedex, France
2 Laboratoire Physique Théorique et Modèles Statistiques (UMR CNRS 8626), Université Paris-Sud, Orsay Cedex, France
In the context of reactor physics, one is often called to relate the physical properties of a medium to the statistics of the random trajectories of the neutrons flowing through it. For instance, Cauchy’s formula establishes a link between the average length of the neutron paths (which is proportional to the medium opacity) and the volume-to-surface ratio of the traversed medium. In this work, we consider some extensions of such results for neutrons undergoing scattering, absorption and branching. A validation of the proposed formulas via Monte Carlo simulations is discussed.
Key words: Monte Carlo / opacity / branching processes / exponential flights
© Owned by the authors, published by EDP Sciences, 2014