Rejection-based sampling of inelastic neutron scattering

X.-X. Cai; T. Kittelmann; E. Klinkby; J.I. Márquez  Damián

doi:10.1016/j.jcp.2018.11.043

Rejection-based sampling of inelastic neutron scattering

X.-X. Cai^*, T. Kittelmann, E. Klinkby, J.I. Márquez Damián

^*Corresponding author for this work

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Abstract

Distributions of inelastically scattered neutrons can be quantum dynamically described by a scattering kernel. We present an accurate and computationally effcient rejection method for sampling a given scattering kernel of any isotropic material. The proposed method produces continuous neutron energy and angular distributions, typically using just a single interpolation per sampling. We benchmark the results of this method against those from accurate analytical models and one of the major neutron transport codes. We also show the results of applying this method to the conventional discrete double differential cross sections.

Original language	English
Journal	Journal of Computational Physics
Volume	380
Pages (from-to)	400-407
Number of pages	8
ISSN	0021-9991
DOIs	https://doi.org/10.1016/j.jcp.2018.11.043
Publication status	Published - 2019

Keywords

Thermal neutron scattering
Monte Carlo simulation
Rejection method
Isotropic material

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title = "Rejection-based sampling of inelastic neutron scattering",

abstract = "Distributions of inelastically scattered neutrons can be quantum dynamically described by a scattering kernel. We present an accurate and computationally effcient rejection method for sampling a given scattering kernel of any isotropic material. The proposed method produces continuous neutron energy and angular distributions, typically using just a single interpolation per sampling. We benchmark the results of this method against those from accurate analytical models and one of the major neutron transport codes. We also show the results of applying this method to the conventional discrete double differential cross sections.",

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AU - Cai, X.-X.

AU - Kittelmann, T.

AU - Klinkby, E.

AU - Damián, J.I. Márquez

PY - 2019

Y1 - 2019

N2 - Distributions of inelastically scattered neutrons can be quantum dynamically described by a scattering kernel. We present an accurate and computationally effcient rejection method for sampling a given scattering kernel of any isotropic material. The proposed method produces continuous neutron energy and angular distributions, typically using just a single interpolation per sampling. We benchmark the results of this method against those from accurate analytical models and one of the major neutron transport codes. We also show the results of applying this method to the conventional discrete double differential cross sections.

AB - Distributions of inelastically scattered neutrons can be quantum dynamically described by a scattering kernel. We present an accurate and computationally effcient rejection method for sampling a given scattering kernel of any isotropic material. The proposed method produces continuous neutron energy and angular distributions, typically using just a single interpolation per sampling. We benchmark the results of this method against those from accurate analytical models and one of the major neutron transport codes. We also show the results of applying this method to the conventional discrete double differential cross sections.

KW - Thermal neutron scattering

KW - Monte Carlo simulation

KW - Rejection method

KW - Isotropic material

U2 - 10.1016/j.jcp.2018.11.043

DO - 10.1016/j.jcp.2018.11.043

M3 - Journal article

SN - 0021-9991

VL - 380

SP - 400

EP - 407

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Rejection-based sampling of inelastic neutron scattering

Abstract

Keywords

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