Stationary Nonaxisymmetric Configurations of Magnetized Singular Isothermal Disks

Abstract

We construct both aligned and unaligned (logarithmic spiral) stationary configurations of nonaxisymmetric magnetohydrodynamic (MHD) disks from either a full or a partial razor-thin power-law axisymmetric magnetized singular isothermal disk (MSID) that is embedded with a coplanar azimuthal magnetic field $B_{\theta }$ of a non-force-free radial scaling $r^{-1/2}$ and that rotates differentially with a flat rotation curve of speed $aD$, where $a$ is the isothermal sound speed and $D$ is the dimensionless rotation parameter. Analytical solutions and stability criteria for determining $D^2$ are derived.

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Cited by in corpus (11)

• Magnetohydrodynamic Density Waves in a Composite Disk System of Interstellar Medium and Cosmic-Ray Gas
• Stationary perturbation configurations in a composite system of stellar and coplanarly magnetized gaseous singular isothermal discs
• Axisymmetric stability criterion for two gravitationally coupled singular isothermal discs
• Perturbation configurations in a two-fluid system of singular isothermal disks
• Gravitationally coupled scale-free discs
• Structures in a class of magnetized scale-free discs
• Global Perturbation Configurations in a Composite Disc System with an Isopedic Magnetic Field
• Axisymmetric stability criteria for a composite system of stellar and magnetized gaseous singular isothermal discs
• Global axisymmetric stability analysis for a composite system of two gravitationally coupled scale-free discs
• Global structures in a composite system of two scale-free discs with a coplanar magnetic field
• Scale-Free Thin Discs with an Isopedic Magnetic Field