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Using the linearized Boltzmann equation, we investigate how grooves carved in the phase space of a half-mass Mestel disc can trigger the vigorous growth of two-armed spiral eigenmodes. Such grooves result from the collisional dynamics of a…

Astrophysics of Galaxies · Physics 2019-01-23 Sven De Rijcke , Jean-Baptiste Fouvry , Christophe Pichon

A linear stability analysis has been performed onto a self-gravitating magnetized gas disk bounded by external pressure. The resulting dispersion relation is fully explained by three kinds of instability: a Parker-type instability driven by…

Astrophysics · Physics 2007-05-23 Sang Min Lee , Seung Soo Hong

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 present a linear analysis of the vertical structure and growth of the magnetorotational instability in stratified, weakly ionised accretion discs, such as protostellar and quiescent dwarf novae systems. The method includes the effects of…

Astrophysics · Physics 2009-11-10 Raquel Salmeron , Mark Wardle

This work presents a linear analytical calculation on the stability and evolution of a compressible, viscous self-gravitating (SG) Keplerian disc with both horizontal thermal diffusion and a constant cooling timescale when an axisymmetric…

Solar and Stellar Astrophysics · Physics 2017-01-25 Riccardo Vanon , Gordon Ogilvie

Low-mass disks orbiting a massive body can support "slow" normal modes, in which the eigenfrequency is much less than the orbital frequency. Slow modes are lopsided, i.e., the azimuthal wavenumber m=1. We investigate the properties of slow…

Astrophysics · Physics 2009-10-31 Scott Tremaine

In this paper, we show that astrophysical accretion disks are dynamically unstable to non-axisymmetric disturbances. This instability is present in any stably stratified anticyclonically sheared flow as soon as the angular velocity…

Astrophysics · Physics 2007-05-23 D. Richard , F. Hersant , O. Dauchot , F. Daviaud , B. Dubrulle , J-P. Zahn

We show that the standard model for geometrically thin accretion disks (alpha-disks) leads to inconsistencies if selfgravity plays a role. This problem arises from the parametrization of viscosity in terms of local sound velocity and…

Astrophysics · Physics 2007-05-23 W. J. Duschl , Peter A. Strittmatter , Peter L. Biermann

Semi-analytic models of self-gravitating discs often approximate the angular momentum transport generated by the gravitational instability using the phenomenology of viscosity. This allows the employment of the standard viscous evolution…

Solar and Stellar Astrophysics · Physics 2015-05-19 Duncan Forgan , Ken Rice , Peter Cossins , Giuseppe Lodato

We present 3D magnetohydrodynamic (MHD) numerical simulations of the evolution of self--gravitating and weakly magnetized disks with an adiabatic equation of state. Such disks are subject to the development of both the magnetorotational and…

We perform a linear stability analysis of the axisymmetric, relativistic, self-similar isothermal disk against non-axisymmetric perturbations. Two sets of neutral modes are discovered. The first set corresponds to marginally unstable…

Astrophysics · Physics 2009-11-10 Mike J. Cai , Frank H. Shu

We investigate shear and buoyancy instabilities in radially stratified, magnetized, cylindrical flows, for application to magnetocentrifugally driven winds and to magnetized accretion disks. We identify and study nine principal types of…

Astrophysics · Physics 2009-10-31 Woong-Tae Kim , Eve C. Ostriker

We examine the convective stability of hydrodynamic discs with full stratification in the local approximation and in the presence of thermal diffusion (or relaxation). Various branches of the relevant axisymmetric dispersion relation…

Earth and Planetary Astrophysics · Physics 2016-04-27 Francesco Volponi

We consider warped compactifications in (4+d)-dimensional theories, with four dimensional de Sitter dS_4 vacua (with Hubble parameter H) and with a compact internal space. After introducing a gauge-invariant formalism for the generic metric…

High Energy Physics - Theory · Physics 2010-11-19 Carlo Contaldi , Lev Kofman , Marco Peloso

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

For over 30 years, the Magneto-Rotational Instability has been accepted as the mechanism driving accretion disk turbulence. Its physical basis is well understood, where an interplay between centrifugal forces and magnetic tension transfers…

Astrophysics of Galaxies · Physics 2025-07-31 Nicolas Brughmans , Rony Keppens

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and…

Astrophysics · Physics 2007-05-23 A. V. Khoperskov , S. S. Khrapov

We perform 3D SPH simulations of warped, non-coplanar gravitationally unstable discs to show that as the warp propagates through the self-gravitating disc, it heats up the disc rendering it gravitationally stable. Thus losing their spiral…

Earth and Planetary Astrophysics · Physics 2022-02-09 Sahl Rowther , Rebecca Nealon , Farzana Meru

In this paper, we analyze the linear stability of a stellar accretion disk, having a stratified morphology. The study is performed in the framework of ideal magneto-hydrodynamics and therefore it results in a characterization of the linear…

High Energy Astrophysical Phenomena · Physics 2016-01-20 G. Montani , D. Pugliese

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