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 stressenergy 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 selfconsistently 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.
 Authors:

 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 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:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 12; Journal ID: ISSN 24700010
 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 stressenergy 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 selfconsistently 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}
}
Figures / Tables:
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