A Note on the Slim Accretion Disk Model

Abstract

We show that when the gravitational force is correctly calculated in dealing with the vertical hydrostatic equilibrium of black hole accretion disks, the relationship that is valid for geometrically thin disks, i.e., $c_s/{\Omega }_{K}H=$ constant, where $c_s$ is the sound speed, ${\Omega }_K$ is the Keplerian angular velocity, and $H$ is the half-thickness of the disk, does not hold for slim disks. More importantly, by adopting the correct vertical gravitational force in studies of thermal equilibrium solutions, we find that there exists a maximally possible accretion rate for each radius in the outer region of optically thick accretion flows, so that only the inner region of these flows can possibly take the form of slim disks, and strong outflows from the outer region are required to reduce the accretion rate in order for slim disks to be realized.

14 pages, 5 figures, accepted by ApJ

References in corpus (7)

• Three-dimensional MHD Simulations of Radiatively Inefficient Accretion Flows
• Extreme Slim Accretion Disks and Narrow Line Seyfert 1 Galaxies: the Nature of the soft X-ray Hump
• New Analytical Formula for Supercritical Accretion Flows
• Do Ultraluminous X-ray Sources Really Contain Intermediate-mass Black Holes?
• Numerical Models of Viscous Accretion Flows Near Black Holes
• Slim Disks with Transition Regions and Applications to Microquasars and Narrow Line Seyfert 1 Galaxies
• Non-linear evolution of thermally unstable slim accretion discs with a diffusive form of viscosity

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• Modified Slim-Disk Model Based on Radiation-Hydrodynamic Simulation Data: The Conflict Between Outflow and Photon Trapping
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• Numerical and analytical solutions of Neutrino-Dominated Accretion Flows with a Non-Zero Torque Boundary Condition and its applications in Gamma-ray Bursts
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• Comparison between RHD simulation of supercritical accretion flows and steady model with outflows
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• Two-dimensional Inflow-outflow Solution of Supercritical Accretion Flow
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• Could an X-ray Flare after GRB 170817A Originate from a Post-merger Slim Accretion Disc?
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• A unified framework for hot accretion flows with finite angular momentum: from Bondi-like to disc-like regimes