Some developments of hot accretion flow theory in the past ten years

The hot accretion flow model was re-discovered in 1994 by Narayan and collaborators. Intensive theoretical works have been conducted and significant progresses have been achieved. In this paper, we review several developments in the past ten years. This mainly includes the finding of outflow and convection and its dynamical effect on inflow; the direct electron heating by viscous dissipation; the effect of large scale toroidal magnetic fields in the inner region of the accretion flow; and the effect of global Compton scattering. Their observational applications are also introduced very briefly.