Uncertainty quantification and propagation in nuclear density functional theory
Abstract
Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semi-phenomenological constructions that depend on a set of parameters adjusted to experimental data in fi nite nuclei. In this study, we review recent eff orts to quantify the related uncertainties, and propagate them to model predictions. In particular, we cover the topics of parameter estimation for inverse problems, statistical analysis of model uncertainties and Bayesian inference methods. Illustrative examples are taken from the literature.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Francis Marion Univ., Florence, SC (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1184172
- Report Number(s):
- LLNL-PROC-668703
Journal ID: ISSN 1434-6001
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. A
- Additional Journal Information:
- Journal Volume: 51; Journal Issue: 12; Conference: Presented at: Perspectives on Nuclear Data for the Next Decade, Bruyeres-le-Chatel (France), 14-17 Oct 2014; Journal ID: ISSN 1434-6001
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
Citation Formats
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., and Wild, S. M. Uncertainty quantification and propagation in nuclear density functional theory. United States: N. p., 2015.
Web. doi:10.1140/epja/i2015-15169-9.
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., & Wild, S. M. Uncertainty quantification and propagation in nuclear density functional theory. United States. https://doi.org/10.1140/epja/i2015-15169-9
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., and Wild, S. M. Wed .
"Uncertainty quantification and propagation in nuclear density functional theory". United States. https://doi.org/10.1140/epja/i2015-15169-9. https://www.osti.gov/servlets/purl/1184172.
@article{osti_1184172,
title = {Uncertainty quantification and propagation in nuclear density functional theory},
author = {Schunck, N. and McDonnell, J. D. and Higdon, D. and Sarich, J. and Wild, S. M.},
abstractNote = {Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semi-phenomenological constructions that depend on a set of parameters adjusted to experimental data in fi nite nuclei. In this study, we review recent eff orts to quantify the related uncertainties, and propagate them to model predictions. In particular, we cover the topics of parameter estimation for inverse problems, statistical analysis of model uncertainties and Bayesian inference methods. Illustrative examples are taken from the literature.},
doi = {10.1140/epja/i2015-15169-9},
journal = {European Physical Journal. A},
number = 12,
volume = 51,
place = {United States},
year = {2015},
month = {12}
}
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Axially deformed solution of the Skyrme-Hartree–Fock–Bogoliubov equations using the transformed harmonic oscillator basis (II) hfbtho v2.00d: A new version of the program
dataset, January 2019
- Stoitsov, M. V.
- Mendeley
Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code
dataset, January 2019
- Ryssens, W.
- Mendeley
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Low Scale Saturation of Effective NN Interactions and Their Symmetries
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Low scale saturation of Effective NN Interactions and their Symmetries
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Bayesian approach to model-based extrapolation of nuclear observables
text, January 2018
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