Abstract

Through the study of astrophysical accretion disks, considering the central role of angular momentum transport and energy conservation in determining the structure and evolution of accretion flow, we have constructed a comprehensive set of descriptions for the structure of accretion disks around supermassive black holes in active galactic nuclei (AGNs). The equation sets take into account various possible situations (gas pressure dominance, radiation pressure dominance, different heat production mechanisms, especially considering the latest research results on the turbulent heat production mechanism caused by gravity instability, etc.). By solving this system of equations, we give a general solution that covers multiple regions of a black hole's accretion disk. This will become an important tool for the community to effectively study other physical processes in the disk (such as the birth and evolution of stars, the diffusion of heavy elements, and the dynamical interactions of compact objects embedded in the disk).

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