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Title:
The conductive propagation of nuclear flames. I - Degenerate C + O and O + NE + MG white dwarfs
Authors:
Timmes, F. X.; Woosley, S. E.
Affiliation:
AA(Lick Observatory, Santa Cruz, CA), AB(Lick Observatory, Santa Cruz; Lawrence Livermore National Laboratory, Livermore, CA)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 649-667. Research supported by California Space Institute. (ApJ Homepage)
Publication Date:
09/1992
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
DEGENERATE MATTER, NEUTRON STARS, NUCLEAR FUSION, RADIATION TRANSPORT, STELLAR INTERIORS, WHITE DWARF STARS, COMPUTATIONAL GRIDS, CONDUCTIVE HEAT TRANSFER, FRACTALS, GRAVITATIONAL COLLAPSE, REACTION KINETICS, SUPERNOVAE
DOI:
10.1086/171746
Bibliographic Code:
1992ApJ...396..649T

Abstract

The paper determines the physical properties - speed, width, and density structure - of conductive burning fronts in degenerate carbon-oxygen (C + O) and oxygen-neon-magnesium (O + Ne + Mg) compositions for a grid of initial densities and compositions. The dependence of the physical properties of the flame on the assumed values of nuclear reaction rates, the nuclear reaction network employed, the thermal conductivity, and the choice of coordinate system are investigated. The occurrence of accretion-induced collapse of a white dwarf is found to be critically dependent on the velocity of the nuclear conductive burning front and the growth rate of hydrodynamic instabilities. Treating the expanding area of the turbulent burning region as a fractal whose tile size is identical to the minimum unstable Rayleigh-Taylor wavelength, it is found, for all reasonable values of the fractal dimension, that for initial C + O or O + Ne + Mg densities above about 9 x 10 exp 9 g/cu cm the white dwarf should collapse to a neutron star.

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