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In this paper we examine the issue of characterizing the transport associated with gravitational instabilities in relatively cold discs, discussing in particular under which condition it can be described within a local, viscous framework.…

Astrophysics · Physics 2009-11-10 Giuseppe Lodato , W. K. M. Rice

We employ a variety of numerical simulations in the local shearing box system to investigate in greater depth the local hydrodynamic stability of Keplerian differential rotation. In particular we explore the relationship of Keplerian shear…

Astrophysics · Physics 2009-10-31 John F. Hawley , Steven A. Balbus , Wayne F. Winters

The origin of hydrodynamic turbulence in rotating shear flow is a long standing puzzle. Resolving it is especially important in astrophysics when the flow angular momentum profile is Keplerian which forms an accretion disk having negligible…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Banibrata Mukhopadhyay , Kanak Saha

In this paper we examine the issue of characterising the transport associated with gravitational instabilities in relatively cold discs, discussing in particular the conditions under which it can be described within a local, viscous…

Astrophysics · Physics 2009-11-10 G. Lodato , W. K. M. Rice

The origin of turbulence in accretion discs is still not fully understood. While the magneto-rotational instability is considered to operate in sufficiently ionized discs, its role in the poorly ionized protoplanetary disc is questionable.…

Earth and Planetary Astrophysics · Physics 2014-12-03 Moritz H. R. Stoll , Wilhelm Kley

We investigate the effects of ambipolar diffusion and the Hall effect on the stability of weakly-ionized, magnetized planar shear flows. Employing a local approach similar to the shearing-sheet approximation, we solve for the evolution of…

Astrophysics · Physics 2009-11-13 Matthew W. Kunz

We investigate linear dynamics of non-axisymmetric perturbations in incompressible, vertically stratified Keplerian discs with a weak vertical magnetic field in the shearing box approximation. Perturbations are decomposed into shearing…

Earth and Planetary Astrophysics · Physics 2015-06-16 G. R. Mamatsashvili , G. D. Chagelishvili , G. Bodo , P. Rossi

We present idealized models of a razor-thin, axisymmetric, Keplerian stellar disc around a massive black hole, and study non-axisymmetric secular instabilities in the absence of either counter-rotation or loss cones. These discs are…

Astrophysics of Galaxies · Physics 2018-03-14 Karamveer Kaur , Mher Kazandjian , S. Sridhar , Jihad Touma

We attempt to address the old problem of plane shear flows: the origin of turbulence and hence transport of angular momentum in accretion flows as well as laboratory flows, such as plane Couette flow. We undertake the problem by introducing…

High Energy Astrophysical Phenomena · Physics 2021-01-21 Subham Ghosh , Banibrata Mukhopadhyay

We explore the linear stability of astrophysical discs exhibiting vertical shear, which arises when there is a radial variation in the temperature or entropy. Such discs are subject to a "vertical-shear instability", which recent nonlinear…

Solar and Stellar Astrophysics · Physics 2015-06-24 Adrian J. Barker , Henrik N. Latter

The purpose of this paper is to explore how accretion discs manifest the phenomenon of transient growth on a global scale. We investigate analytically the time response of a thin accretion disc to particular axisymmetric perturbations. To…

Astrophysics · Physics 2007-05-23 O. M. Umurhan , A. Nemirovsky , O. Regev , G. Shaviv

Quasi-Keplerian flow, a special regime of Taylor-Couette co-rotating flow, is of great astrophysical interest for studying angular momentum transport in accretion disks. The well-known magnetorotational instability (MRI) successfully…

Fluid Dynamics · Physics 2024-10-08 Dongdong Wan , Rikhi Bose , Mengqi Zhang , Xiaojue Zhu

Warped astrophysical discs are usually treated as laminar viscous flows, which have anomalous properties when the disc is nearly Keplerian and the viscosity is small: fast horizontal shearing motions and large torques are generated, which…

Solar and Stellar Astrophysics · Physics 2015-06-15 Gordon I. Ogilvie , Henrik N. Latter

Despite observational evidence for cold neutral astrophysical accretion disks, the viscous process which may drive the accretion in such systems is not yet understood. While molecular viscosity is too small to explain the observed accretion…

Astrophysics · Physics 2009-11-10 Niayesh Afshordi , Banibrata Mukhopadhyay , Ramesh Narayan

Subcritical transition to turbulence in Keplerian accretion disks is still a controversial issue and some theoretical progress is required in order to determine whether or not this scenario provides a plausible explanation for the origin of…

Astrophysics · Physics 2009-11-11 F. Rincon , G. I. Ogilvie , C. Cossu

Low mass, self-gravitating accretion disks admit quasi-steady,`gravito-turbulent' states in which cooling balances turbulent viscous heating. However, numerical simulations show that gravito-turbulence cannot be sustained beyond dynamical…

Earth and Planetary Astrophysics · Physics 2016-06-22 Min-Kai Lin , Kaitlin M. Kratter

We carry out a general study of the stability of astrophysical flows that appear steady in a uniformly rotating frame. Such a flow might correspond to a stellar pulsation mode or an accretion disk with a free global distortion giving it…

Astrophysics · Physics 2009-11-10 J. C. B. Papaloizou

Axisymmetric accretion disks in vicinity of a central compact body are studied. In the case of non-viscous disk it is proven that all solutions for the midplane circular velocity are unstable. Hence, the pure hydrodynamic turbulence in…

Fluid Dynamics · Physics 2020-06-30 V. S. Borisov

This letter expands the stability criterion for radially stratified, vertically {unstratified} accretion disks incorporating thermal relaxation. We find a linear amplification of epicyclic oscillations in these disks that depends on the…

Solar and Stellar Astrophysics · Physics 2015-06-19 Hubert Klahr , Alexander Hubbard

We study the stability of poloidal magnetic fields anchored in a thin accretion disc. The two-dimensional hydrodynamics in the disc plane is followed by a grid-based numerical simulation including the vertically integrated magnetic forces.…

Astrophysics · Physics 2015-06-24 R. Stehle , H. C. Spruit