We study local linear non-axisymmetric perturbations in
fully stratified 3D astrophysical disks. Radial stratification is set to be
described by power law, while vertical stratification is set to be exponential.
We analyze the linear perturbations in local shearing sheet frame and derive
WKB dispersion equation. We show that stratification laws of the disk matter
define not only the thermal stability of the disk, but also the efficiency of
the potential vorticity production by rotationg convective turbulence in
astrophysical disks. Taken developed convective turbulence we assume nonlinear
tendencies set by linear spectrum and show that vortices are unlikely to be generated
in rigid rotation flows. In contrast, differential rotation yields much higher
vortex production rate that depends on the disk thickness, distance from the
central object and the spectral characteristics of the developed thermal
turbulence. It seems that measurements of the temperature and density
distribution in accretion disks may indicate the efficiency of the turbulence
development and largely define the luminosity characteristic of accreting
G. D. Cha-gelishvili, J.-P. Zahn, A. G. Tevzadze and J. G. Lominadze, “On Hydrodynamical Shear Turbulence in Keplerian Flows: Via Transient Growth to Bypass Transition,” Astronomy and Astrophysics, Vol. 402, 2003, pp. 401-407. doi:10.1051/0004-6361:20030269
G. Bodo, A. G. Tevzadze, G. D. Chagelishvili, A. Mignone, P. Rossi and A. Ferrari, “Stability and Nonlinear Adjust-ment of Vortices in Keplerian Flows,” Astronomy and Astrophysics, Vol. 475, No. 1, 2007, pp. 51-61. doi:10.1051/0004-6361:20077695
G. Bodo, G. D. Chagelishvili, G. Murante, A. G. Tevzadze, P. Rossi and A. Ferrari, “Spiral Density Wave Generation by Vortices in Keplerian Flows,” Astronomy and Astrophysics, Vol. 437, No. 1, 2005, pp. 9-22. doi:10.1051/0004-6361:20041046
A. G. Tev-zadze, G. D. Chagelishvili, G. Bodo and P. Rossi, “Linear Coupling of Modes in Two-Dimensional Radially Strati-fied Astrophysical Disks,” Monthly Notice of the Royal Astronomical Society, Vol. 401, No. 2, 2010, pp. 901-912. doi:10.1111/j.1365-2966.2009.15723.x
G. Rudiger, R. Artl and D. Shalybkov, “Hydrodynamic Stability in Accretion Disks Under the Combined Influence of Shear and Density Stratification,” Astronomy and Astrophysics, Vol. 391, No. 2, 2002, pp. 781-787.
G. Lesur and G. Ogilvie, “On the Angular Momentum Transport Due to Vertical Convection in Accretion Discs,” Monthly Notice of the Royal Astronomical Society, Vol. 404, No. 1, 2010, pp. L64-L68.
A. G. Tevzadze, G. D. Chagelishvili and J.-P. Zhan, “Hy-drodynamic Stability an Mode Coupling in Keple-rian Flows: Local Strato-Rotational Analysis,” As-tronomy and Astrophysics, Vol. 478, No. 1, 2008, pp. 9-15.doi:10.1051/0004-6361:20078386