Figure 1: An example of the geometry of an accretion disk with a circular cross-section. Here, R0 and a are the major radius of the geometric axis and the radius of the last closed flux surface, respectively. | |
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Figure 2: The two-dimensional pressure (gray-scale) and plasma beta (contours) profile for an accretion disk with constant density. The cross-section is circular and the inverse aspect ratio . The central object is to the left of the figure. | |
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Figure 3: a) Real, and b) imaginary parts of the sub-spectrum of the MHD continua as functions of the radial flux coordinate and c) represented in the complex plane for toroidal mode number n=-1 and poloidal mode numbers m=[-3,5]. The corresponding disk equilibrium shown in Fig. 2 has a constant density distribution. | |
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Figure 4: The growth rate of the most unstable continuum mode as a function of the value of gravitational potential on the magnetic axis . The gravitational potential is scaled with respect to the Alfvén speed on the magnetic axis. | |
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Figure 5: The Brunt-Väisälä frequency projected on a flux surface for the points a), b), and c) shown in Fig. 4 shown as a contour plot in a poloidal cross-section. | |
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Figure 6: The pressure (gray-scale) and plasma beta (contours) distribution in a poloidal cross-section for an accretion disk with density and an inverse aspect ratio . | |
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Figure 7: For the accretion disk equilibrium shown in Fig. 6, a) the real parts of the sub-spectrum of MHD continua as function of the radial flux coordinate and b) sub-spectrum of the MHD continua in the complex plane are shown for toroidal mode number n=-1 and poloidal mode numbers m=[-3,5]. For these mode numbers, no unstable or overstable modes are found. | |
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Figure 8: The pressure (gray-scale) and plasma beta (contours) for a thick accretion disk with density and an inverse aspect ratio . | |
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Figure 9: For the thick disk equilibrium shown in Fig. 8, a) the real and b) imaginary parts of the sub-spectrum of the MHD continua as a function of the radial flux coordinate and c) sub-spectrum of the MHD continua in the complex plane are shown for toroidal mode number n=-1 and poloidal mode numbers m=[-3,5]. | |
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Figure 10: Growth rate of the most overstable continuum mode as a function of the inverse aspect ratio . | |
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