Ensemble-averaged thermonuclear reaction rates for turbulent convection in stellar interiors

Details Ensemble-averaged thermonuclear reaction rates for turbulent convection in stellar interiors Ensemble-averaged thermonuclear reaction rates for turbulent convection in stellar interiors

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...437..384c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 437, no. 1, p. 384-395

Physics

Combustion Chemistry, Convective Flow, Nuclear Fusion, Stellar Interiors, Stellar Models, Stellar Physics, Supernovae, Turbulent Flow, Abundance, Mathematical Models, Reaction Kinetics

Scientific paper

It is well known in combustion research that the interaction between turbulence and chemsitry can substantially modify flame speeds and overall fuel consumption rates compared to the laminar values. An analogous effect exists for thermonuclear reaction rates in turbulent convection zones in stellar interions. We describe a parametric study that estimates the modification of ensemble-averaged thermonuclear reaction rates by turbulence. The basic approach is to assume some parametric form for the joint probability density function for the reaction variables, estimate the values of the parameters, and then perform the necessary integration to get the averaged reaction rate. We conclude that the effect is not likely to be important during quiescent core-burning phases. The effect is likely to be important for explosive events such as the core helium flash, novae, and supernovae. However, accurate calculation of the turbulent reaction rates must await a reliable quantitative theory of stellar convection.

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