A simplified model for the tidal effect on accretion disks in cataclysmic variables

Statistics – Computation

Scientific paper

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Accretion Disks, Cataclysmic Variables, Computational Astrophysics, Stellar Models, Tides, Digital Simulation, Dwarf Novae, Torque, Two Dimensional Models

Scientific paper

This paper investigates the tidal effect on accretion disks in cataclysmic variables and sets up a simplified model in which the secondary's gravitation is substituted by a mean tidal torque. We find that a linear tidal torque will not be able to maintain an equilibrium disk. By assuming that the radius of the equilibrium disk approximately equals the tidal radius, a result which was obtained by using a two-dimensional numerical simulation invoking nonlinear tidal effect, we give the modified tidal dissipation function for our simplified model which could be used to interpret the outburst of dwarf novae with tidal effect. The paper also shows that the radius of an equilibrium disk with a torus is slightly smaller than the Lubow-Shu radius, and that the tidal effect may also cause a cycle quiescence-superoutburst in addition to the cycle quiescence-outbursts-superoutburst.

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