Secular stability behaviour of nuclear burning before relaxation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The criterion for the secular stability of nuclear burning is revised for times shorter than the effective time of relaxation into diffusion. Using the Cattaneo equation for the heat flux, we show that before the establishment of steady state resistive flow, conditions for the stability of nuclear burning change of sign quasiperiodically, for any given value of the gravothermal specific heat. Implications of this result in calculations of nuclear fusion in accreting neutron star envelopes are suggested.

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