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Title: The QSE-reduced Nuclear Reaction Network for Silicon Burning

Abstract

Iron and neighboring nuclei are formed in massive stars shortly before core collapse and during their supernova outbursts as well as during thermonuclear supernovae. Complete and incomplete silicon burning are responsible for the production of a wide range of nuclei with atomic mass numbers from 28 to 64. Because of the large number of nuclei involved, accurate modeling of silicon burning is computationally expensive. However, examination of the physics of silicon burning has revealed that the nuclear evolution is dominated by large groups of nuclei in mutual equilibrium. We present a new hybrid equilibrium network scheme which takes advantage of this quasi-equilibrium in order to reduce the number of independent variables calculated. This allows accurate prediction of the nuclear abundance evolution, deleptonization, and energy generation at a greatly reduced computational cost when compared to a conventional nuclear reaction network. During silicon burning, the resultant QSE-reduced network is approximately an order of magnitude faster than the full network it replaces and requires the tracking of less than a third as many abundance variables, without significant loss of accuracy. These reductions in computational cost and the number of species evolved make QSE-reduced networks well suited for inclusion within hydrodynamic simulations, particularly inmore » multi-dimensional applications.« less

Authors:
 [1];  [2];  [3];  [3]
  1. ORNL
  2. University of Tennessee, Knoxville (UTK)
  3. Universitat Basel, Switzerland
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
931751
DOE Contract Number:
DE-AC05-00OR22725
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 667
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ABUNDANCE; HYDRODYNAMICS; IRON; MASS NUMBER; NUCLEAR REACTIONS; NUCLEI; PHYSICS; PRODUCTION; SILICON; STARS; SUPERNOVAE

Citation Formats

Hix, William Raphael, Parete-Koon, Suzanne T., Freiburghaus, Christian, and Thielemann, Friedrich-Karl W.. The QSE-reduced Nuclear Reaction Network for Silicon Burning. United States: N. p., 2007. Web. doi:10.1086/520672.
Hix, William Raphael, Parete-Koon, Suzanne T., Freiburghaus, Christian, & Thielemann, Friedrich-Karl W.. The QSE-reduced Nuclear Reaction Network for Silicon Burning. United States. doi:10.1086/520672.
Hix, William Raphael, Parete-Koon, Suzanne T., Freiburghaus, Christian, and Thielemann, Friedrich-Karl W.. Mon . "The QSE-reduced Nuclear Reaction Network for Silicon Burning". United States. doi:10.1086/520672.
@article{osti_931751,
title = {The QSE-reduced Nuclear Reaction Network for Silicon Burning},
author = {Hix, William Raphael and Parete-Koon, Suzanne T. and Freiburghaus, Christian and Thielemann, Friedrich-Karl W.},
abstractNote = {Iron and neighboring nuclei are formed in massive stars shortly before core collapse and during their supernova outbursts as well as during thermonuclear supernovae. Complete and incomplete silicon burning are responsible for the production of a wide range of nuclei with atomic mass numbers from 28 to 64. Because of the large number of nuclei involved, accurate modeling of silicon burning is computationally expensive. However, examination of the physics of silicon burning has revealed that the nuclear evolution is dominated by large groups of nuclei in mutual equilibrium. We present a new hybrid equilibrium network scheme which takes advantage of this quasi-equilibrium in order to reduce the number of independent variables calculated. This allows accurate prediction of the nuclear abundance evolution, deleptonization, and energy generation at a greatly reduced computational cost when compared to a conventional nuclear reaction network. During silicon burning, the resultant QSE-reduced network is approximately an order of magnitude faster than the full network it replaces and requires the tracking of less than a third as many abundance variables, without significant loss of accuracy. These reductions in computational cost and the number of species evolved make QSE-reduced networks well suited for inclusion within hydrodynamic simulations, particularly in multi-dimensional applications.},
doi = {10.1086/520672},
journal = {Astrophysical Journal},
number = ,
volume = 667,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}