Statistics – Computation
Scientific paper
Jan 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...264..282p&link_type=abstract
Astrophysical Journal, Part 1, vol. 264, Jan. 1, 1983, p. 282-295.
Statistics
Computation
60
Neutron Stars, Stellar Mass Accretion, Thermonuclear Reactions, White Dwarf Stars, Eigenvalues, Helium, Rates (Per Time), Steady State, Stellar Models, X Ray Sources
Scientific paper
A simplified semianalytical one-zone model of nuclear burning on accreting degenerate dwarfs or neutron stars is presented which may be used in the construction of steady-state models, linear stability analysis, nonlinear nuclear flash calculations, and the evaluation of the interflash period. The model treats the entire hydrogen-rich layer as a single mass zone overlying a core of fixed size; time evolution of the accreting layer is described by two first-order ordinary differential equations. Solution of the equations for conditions of steady-state nuclear burning allows the study of the dependence of column density on accretion rate, and the derivation of thermal stability conditions. Model computations performed for a wide range of stellar parameters reveal interflash periods, which decrease with increasing surface gravity, accretion rate and core heat flux, of as short as 1 month for hydrogen-rich matter and 1 year for helium-rich matter accreting onto degenerate dwarfs, and 10 seconds for a neutron star accreting helium.
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