Relativistic analogue of the Newtonian fluid energy equation with nucleosynthesis
Abstract
In Newtonian fluid dynamics simulations in which composition has been tracked by a nuclear reaction network, energy generation due to composition changes has generally been handled as a separate source term in the energy equation. Here, a relativistic equation in conservative form for total fluid energy, obtained from the spacetime divergence of the stress-energy tensor, in principle encompasses such energy generation; but it is not explicitly manifest. An alternative relativistic energy equation in conservative form—in which the nuclear energy generation appears explicitly, and that reduces directly to the Newtonian internal+kinetic energy in the appropriate limit—emerges naturally and self-consistently from the difference of the equation for total fluid energy and the equation for baryon number conservation multiplied by the average baryon mass m, when m is expressed in terms of contributions from the nuclear species in the fluid, and allowed to be mutable.
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1456814
- Alternate Identifier(s):
- OSTI ID: 1416431
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 12; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Cardall, Christian Y. Relativistic analogue of the Newtonian fluid energy equation with nucleosynthesis. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.123014.
Cardall, Christian Y. Relativistic analogue of the Newtonian fluid energy equation with nucleosynthesis. United States. https://doi.org/10.1103/PhysRevD.96.123014
Cardall, Christian Y. Fri .
"Relativistic analogue of the Newtonian fluid energy equation with nucleosynthesis". United States. https://doi.org/10.1103/PhysRevD.96.123014. https://www.osti.gov/servlets/purl/1456814.
@article{osti_1456814,
title = {Relativistic analogue of the Newtonian fluid energy equation with nucleosynthesis},
author = {Cardall, Christian Y.},
abstractNote = {In Newtonian fluid dynamics simulations in which composition has been tracked by a nuclear reaction network, energy generation due to composition changes has generally been handled as a separate source term in the energy equation. Here, a relativistic equation in conservative form for total fluid energy, obtained from the spacetime divergence of the stress-energy tensor, in principle encompasses such energy generation; but it is not explicitly manifest. An alternative relativistic energy equation in conservative form—in which the nuclear energy generation appears explicitly, and that reduces directly to the Newtonian internal+kinetic energy in the appropriate limit—emerges naturally and self-consistently from the difference of the equation for total fluid energy and the equation for baryon number conservation multiplied by the average baryon mass m, when m is expressed in terms of contributions from the nuclear species in the fluid, and allowed to be mutable.},
doi = {10.1103/PhysRevD.96.123014},
journal = {Physical Review D},
number = 12,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}
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FIG. 1: A common but problematic correspondence between Newtonian and relativistic fluid dynamics.
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.