The Local Stability of Accretion Disks with Advection

Based on the disscusion of the applicability of local approximation, the local stability of accretion disks with advection is studied together with the considerations of radial viscous force and thermal diffusion. For a geometrically thin, radiative cooling dominated disk, the thermal diffusion has nearly no effects on the thermal and viscous modes, which are both stable if the disk is also optically thick, gas pressure dominated and are both unstable if the disk is whether optically thick, radiation pressure dominated or optically thin. The including of thermal diffusion, however, tends to stabilize the acoustic modes which, if without advection, are unstable if the disk is optically thick, radiation pressure dominated or optically thin, and are stable if the disk is optically thick, gas pressure dominated. The including of very little advection has significant effects on two acoustic modes, which are no longer complex conjugates each other. Independent on the optical