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Linear wave propagation is studied in geometrically thin accretion disks where the equilibrium variables, such as density and temperature, are stratified in the direction normal to the plane of the disk, i.e., the vertical direction. Temperature stratification causes refraction such that initially radially propagating waves are deflected in the vertical direction. For moderate temperature contrast between the disk's midplane and its surface, wave transmission into the tenuous upper atmosphere is allowed. In typical astrophysical accretion disks, these two effects inhibit wave propagation through large distances in the radial direction.
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Lin et al. (1990) studied this question.
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