The breakdown of nuclear quasi-equilibrium in highly compact binaries and the origin of the 2-3 hour gap in the orbital period distribution of cataclysmic variables

Mathematics – Probability

Scientific paper

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Dwarf Novae, Helium Isotopes, Nuclear Reactions, Orbital Elements, Stellar Evolution, Abundance, Binary Stars, Convective Flow, Gravitational Waves, Nonequilibrium Conditions, Stellar Envelopes, Stellar Mass Ejection, Stellar Models, Stellar Structure, Variable Stars

Scientific paper

The authors have calculated the secular evolution of a highly compact binary, composed of a degenerate-dwarf primary and a low-mass main-sequence secondary, taking into account the combined effects of (1) the gradual breakdown of quasi-equilibrium of the 3He abundance in the interior of the secondary, and (2) the progressive mixture of fresh 3He into the core of the secondary due to the increasing depth of the stellar surface convection zone. It is found that these effects may provide a natural explanation for the apparent sharp decrease in the discovery probability of a cataclysmic variable as its orbital period decreases through ≡3 hours.

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