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Bibliographic Details
Main Authors: Ober, Derick E., Van der Ven, Anton
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.12255
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author Ober, Derick E.
Van der Ven, Anton
author_facet Ober, Derick E.
Van der Ven, Anton
contents This work demonstrates how first-principles thermodynamic research within a Bayesian framework can quantify and propagate uncertainties to downstream thermodynamic calculations. To address the issue of Bayesian prior selection, knowledge of zero Kelvin ground states in the material system of interest is incorporated into the prior. The effectiveness of this framework is shown by creating a phase diagram for the FCC Zirconium Nitride system, including confidence intervals on phase boundary regions of interest.
format Preprint
id arxiv_https___arxiv_org_abs_2309_12255
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Thermodynamically Informed Priors for Uncertainty Propagation in First-Principles Statistical Mechanics
Ober, Derick E.
Van der Ven, Anton
Materials Science
Statistical Mechanics
This work demonstrates how first-principles thermodynamic research within a Bayesian framework can quantify and propagate uncertainties to downstream thermodynamic calculations. To address the issue of Bayesian prior selection, knowledge of zero Kelvin ground states in the material system of interest is incorporated into the prior. The effectiveness of this framework is shown by creating a phase diagram for the FCC Zirconium Nitride system, including confidence intervals on phase boundary regions of interest.
title Thermodynamically Informed Priors for Uncertainty Propagation in First-Principles Statistical Mechanics
topic Materials Science
Statistical Mechanics
url https://arxiv.org/abs/2309.12255