Finite propagation time in multidimensional thermonuclear runaways

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Dwarf Novae, Gamma Ray Bursts, Neutron Stars, Stellar Envelopes, Thermonuclear Reactions, X Ray Sources, Helium, Propagation Velocity, Surface Layers, Time Response, White Dwarf Stars

Scientific paper

The importance of multidimensional effects for thermonuclear runaways that occur in thin stellar shells and surface layers is discussed. The runaway will initiate at a point instead of simultaneously over the entire layer and will propagate around the star as a burning front that requires a finite time to ignite all of the fuel in the layer. A method for estimating the lateral burning velocity of a deflagration wave is discussed both for cases where the propagation is mediated by conduction or radiation as well as for layers in which convection is the dominant energy transport mechanism. The burning velocity and the time scale for the front to propagate around the star are calculated for several different types of events to determine the observational consequences. For novae, X-ray bursts, and gamma-ray bursts, the finite propagation time can be important in determining the rise time or duration of the event. For thin shell helium flashes in intermediate-mass stars, the calculation is highly uncertain but suggests that the finite propagation time itself will probably not substantially modify the earlier one-dimensional results, although other multidimensional aspects of the runaway may be very important.

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