On the evolution of accretion disc flow in cataclysmic variables. I - The prospect of a limit cycle in dwarf nova systems

Physics

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Accretion Disks, Dwarf Novae, Stellar Mass Accretion, Stellar Temperature, Variable Stars, Opacity, Steady State, Stellar Structure, Thermodynamics

Scientific paper

We present the basic physics of a mechanism which explains dwarf nova outbursts as accretion disc instabilities. Briefly put, the strong and oppositely directed temperature dependences of opacity in hydrogen ionization regions drive a thermal instability which modulates mass transfer throughout the disc. We also show that the conventional thin disc treatment breaks down in cool regions, where the surface boundary condition dominates the structure. One major purpose of the paper is to modify the conventional treatment, to produce analytical approximations for many of the relationships of interest. When these results are applied to a schematic local treatment of disc flows, the prospect of a thermal limit cycle is revealed. Finally, these results will be particularly useful for time-dependent treatments of global accretion disc flow.

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