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We investigate stability of Toomre-Hayashi model for a self-gravitating, rotating gas disk. The rotation velocity, $ v_\phi $, and sound speed, $ c _{\rm s} $, are spatially constant in the model. We show that the model is unstable against…

Astrophysics · Physics 2007-05-23 Tomoyuki Hanawa , Kazuya Saigo , Tomoaki Matsumoto

We study a model of weakly ionized, protostellar accretion discs that are threaded by a large-scale, ordered magnetic field and power a centrifugally driven wind. We consider the limiting case where the wind is the main repository of the…

Solar and Stellar Astrophysics · Physics 2015-05-14 A. Königl , R. Salmeron , M. Wardle

Class II protoplanetary discs feature numerous non-axisymmetric substructures like spirals and the underlying mechanisms for their formation are still highly debated. Coincidentally, early stage, massive discs are subject to the…

Solar and Stellar Astrophysics · Physics 2026-03-25 Marc Van den Bossche , Oliver Gressel

We study local stability of self-gravitating fluid and stellar disk in the context of modified gravity theories which predict a Yukawa-like term in the gravitational potential of a point mass. We investigate the effect of such a Yukawa-like…

Astrophysics of Galaxies · Physics 2014-05-27 Asiyeh Habibi , Mohammad Taghi Mirtorabi , Mahmood Roshan

Results from a numerical and analytical investigation of the solution of a nonlinear axially symmetric diffusion equation for the magnetic field are presented for the case when the nonlinear dependence of the diffusivity nu(B) on the…

Astrophysics · Physics 2009-10-30 K. Petrovay , F. Moreno-Insertis

Using radiation hydrodynamics simulations in a local stratified shearing box with realistic equations of state and opacities, we explored the outcome of self-gravity at 50 AU in a protoplanetary disc irradiated by the central star. We found…

Earth and Planetary Astrophysics · Physics 2017-05-31 Shigenobu Hirose , Ji-Ming Shi

Gravitational instabilities play an important role in galaxy evolution and in shaping the interstellar medium (ISM). The ISM is observed to be highly turbulent, meaning that observables like the gas surface density and velocity dispersion…

Astrophysics of Galaxies · Physics 2015-06-23 Oscar Agertz , Alessandro B. Romeo , Kearn Grisdale

We perform local, vertically stratified shearing-box MHD simulations of protoplanetary disks (PPDs) at a fiducial radius of 1 AU that take into account the effects of both Ohmic resistivity and ambipolar diffusion (AD). The magnetic…

Earth and Planetary Astrophysics · Physics 2015-06-12 Xue-Ning Bai , James M. Stone

Analytical models of axially symmetric thin disks of finite extension in presence of magnetic field are presented based on the well-known Morgan-Morgan solutions. The source of the magnetic field is cons\-tructed separating the equation…

Astrophysics of Galaxies · Physics 2016-04-11 Edinson Cardona-Rueda , Gonzalo García-Reyes

We study the time evolution of a large-scale magnetic flux threading an accretion disk. Induction equation of the mean poloidal field is solved under the standard viscous disk model. Magnetic flux evolution is controlled by the two…

Earth and Planetary Astrophysics · Physics 2015-06-17 Taku Takeuchi , Satoshi Okuzumi

We report on the first global three-dimensional (3D) MHD simulations of disk accretion onto a rotating magnetized star through the Rayleigh-Taylor instability. The star has a dipole field misaligned relative to the rotation axis by a small…

Astrophysics · Physics 2018-01-17 Marina M. Romanova , Akshay K. Kulkarni , Richard V. E. Lovelace

Many accreting systems are modeled as geometrically thin disks. Simulations of accretion disks cannot be extended to this regime, although local models can address the behavior of narrow annuli. A global model needs to account for the…

High Energy Astrophysical Phenomena · Physics 2026-01-13 Yossef Zenati , Ethan T. Vishniac , Amir Jafari

Linear analysis of vortex sheet stability in the rotating gaseous disk or shallow water layer shows that presence of a central reflecting surface changes system stability significantly. An effect of absence of vortex sheet stabilization has…

Astrophysics · Physics 2007-05-23 J. V. Mustsevaya , V. V. Mustsevoy

General analytic arguments lead us to expect that in the modified dynamics (MOND) self-gravitating disks are more stable than their like in Newtonian dynamics. We study this question numerically, using a particle-mesh code based on a…

Astrophysics · Physics 2014-10-13 Rafael Brada , Mordehai Milgrom

Astrophysical discs which are sufficiently massive and cool are linearly unstable to the formation of axisymmetric structures. In practice, linearly stable discs of surface density slightly below the threshold needed for this instability…

Earth and Planetary Astrophysics · Physics 2025-01-22 Joshua J. Brown , Gordon I. Ogilvie

The Goldreich and Ward (1973) (axisymmetric) gravitational instability of a razor thin particle layer occurs when the Toomre parameter $Q_T \equiv c_p \Omega_0 / \pi G \Sigma_p < 1$ ($c_p$ being the particle dispersion velocity).…

Earth and Planetary Astrophysics · Physics 2015-04-03 Karim Shariff , Jeffrey N. Cuzzi

(Abridged) We analyse the stability and evolution of power-law accretion disc models. These have midplane densities that follow radial power-laws, and have either temperature or entropy distributions that are power-law functions of…

Earth and Planetary Astrophysics · Physics 2015-06-11 Richard P. Nelson , Oliver Gressel , Orkan M. Umurhan

We study global non-axisymmetric oscillation modes and instabilities in magnetosphere- disc systems, as expected in neutron star X-ray binaries and possibly also in accreting black hole systems. Our two-dimensional magnetosphere-disc model…

High Energy Astrophysical Phenomena · Physics 2012-05-28 Wen Fu , Dong Lai

In earlier work we identified a global, non-axisymmetric instability associated with the presence of an extreme in the radial profile of the key function ${\cal L}(r) \equiv (\Sigma \Omega/\kappa^2) S^{2/\Gamma}$ in a thin, inviscid,…

Astrophysics · Physics 2009-10-31 H. Li , J. M. Finn , R. V. E. Lovelace , S. A. Colgate

We perform numerical analyses of the structure induced by gravitational instabilities in cooling gaseous accretion discs. For low enough cooling rates a quasi-steady configuration is reached, with the instability saturating at a finite…

Astrophysics · Physics 2009-11-13 Peter Cossins , Giuseppe Lodato , Cathie Clarke