Quantifying uncertainties and correlations in the nuclear-matter equation of state
Abstract
We perform statistically rigorous uncertainty quantification (UQ) for chiral effective field theory (χEFT) applied to infinite nuclear matter up to twice nuclear saturation density. The equation of state (EOS) is based on high-order many-body perturbation theory calculations with nucleon-nucleon and three-nucleon interactions up to fourth order in the χEFT expansion. From these calculations our newly developed Bayesian machine-learning approach extracts the size and smoothness properties of the correlated EFT truncation error. We then propose a novel extension that uses multitask machine learning to reveal correlations between the EOS at different proton fractions. The inferred in-medium χEFT breakdown scale in pure neutron matter and symmetric nuclear matter is consistent with that from free-space nucleon-nucleon scattering. These significant advances allow us to provide posterior distributions for the nuclear saturation point and propagate theoretical uncertainties to derived quantities: the pressure and incompressibility of symmetric nuclear matter, the nuclear symmetry energy, and its derivative. Furthermore, our results, which are validated by statistical diagnostics, demonstrate that an understanding of truncation-error correlations between different densities and different observables is crucial for reliable UQ. The methods developed here are publicly available as annotated Jupyter notebooks.
- Authors:
-
[1];
[2];
[2];
[3]
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- The Ohio State Univ., Columbus, OH (United States)
- Ohio Univ., Athens, OH (United States)
- Publication Date:
- Research Org.:
- Ohio Univ., Athens, OH (United States); Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
- OSTI Identifier:
- 1798955
- Alternate Identifier(s):
- OSTI ID: 2319000
- Grant/Contract Number:
- FG02-93ER40756; PHY–1614460; PHY–1913069; SC0013617
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 5; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Asymmetric nuclear matter; Effective field theory; Equations of state of nuclear matter; Nuclear astrophysics; Nuclear forces; Nuclear matter; Nuclear matter in neutron stars; Nucleon-nucleon interactions; Symmetry energy
Citation Formats
Drischler, C., Melendez, J. A., Furnstahl, R. J., and Phillips, D. R. Quantifying uncertainties and correlations in the nuclear-matter equation of state. United States: N. p., 2020.
Web. doi:10.1103/physrevc.102.054315.
Drischler, C., Melendez, J. A., Furnstahl, R. J., & Phillips, D. R. Quantifying uncertainties and correlations in the nuclear-matter equation of state. United States. https://doi.org/10.1103/physrevc.102.054315
Drischler, C., Melendez, J. A., Furnstahl, R. J., and Phillips, D. R. Wed .
"Quantifying uncertainties and correlations in the nuclear-matter equation of state". United States. https://doi.org/10.1103/physrevc.102.054315. https://www.osti.gov/servlets/purl/1798955.
@article{osti_1798955,
title = {Quantifying uncertainties and correlations in the nuclear-matter equation of state},
author = {Drischler, C. and Melendez, J. A. and Furnstahl, R. J. and Phillips, D. R.},
abstractNote = {We perform statistically rigorous uncertainty quantification (UQ) for chiral effective field theory (χEFT) applied to infinite nuclear matter up to twice nuclear saturation density. The equation of state (EOS) is based on high-order many-body perturbation theory calculations with nucleon-nucleon and three-nucleon interactions up to fourth order in the χEFT expansion. From these calculations our newly developed Bayesian machine-learning approach extracts the size and smoothness properties of the correlated EFT truncation error. We then propose a novel extension that uses multitask machine learning to reveal correlations between the EOS at different proton fractions. The inferred in-medium χEFT breakdown scale in pure neutron matter and symmetric nuclear matter is consistent with that from free-space nucleon-nucleon scattering. These significant advances allow us to provide posterior distributions for the nuclear saturation point and propagate theoretical uncertainties to derived quantities: the pressure and incompressibility of symmetric nuclear matter, the nuclear symmetry energy, and its derivative. Furthermore, our results, which are validated by statistical diagnostics, demonstrate that an understanding of truncation-error correlations between different densities and different observables is crucial for reliable UQ. The methods developed here are publicly available as annotated Jupyter notebooks.},
doi = {10.1103/physrevc.102.054315},
journal = {Physical Review. C},
number = 5,
volume = 102,
place = {United States},
year = {Wed Nov 11 00:00:00 EST 2020},
month = {Wed Nov 11 00:00:00 EST 2020}
}
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NMMA: A nuclear-physics and multi-messenger astrophysics framework to analyze binary neutron star mergers
preprint, January 2022
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