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(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 local magnetohydrodynamical (MHD) instabilities of differential rotation in magnetised, stably-stratified regions of stars and planets using a Cartesian Boussinesq model. We consider arbitrary latitudes and general shears (with…

Solar and Stellar Astrophysics · Physics 2024-10-10 Robert W. Dymott , Adrian J. Barker , Chris A. Jones , Steven M. Tobias

We present new results on instabilities in rapidly and differentially rotating neutron stars. We model the stars in full general relativity and describe the stellar matter adopting a cold realistic equation of state based on the unified SLy…

General Relativity and Quantum Cosmology · Physics 2010-06-01 Giovanni Corvino , Luciano Rezzolla , Sebastiano Bernuzzi , Roberto De Pietri , Bruno Giacomazzo

One prototypical instability in granular flows is the shear-banding instability, in which a uniform granular shear flow breaks into alternating bands of dense and dilute clusters of particles having low and high shear (shear stress or shear…

Soft Condensed Matter · Physics 2019-09-18 Priyanka Shukla , Lima Biswas , Vinay Kumar Gupta

The emergence of turbulence in shear flows is a well-investigated field. Yet, one of major issues is the apparent contradiction between linear stability analysis quoting a flow to be stable and results from experiments and simulations…

High Energy Astrophysical Phenomena · Physics 2018-09-28 Tanayveer Singh Bhatia , Banibrata Mukhopadhyay

Rotating shear flows, when angular momentum increases and angular velocity decreases as functions of radiation coordinate, are hydrodynamically stable under linear perturbation. The Keplerian flow is an example of such systems which appears…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Banibrata Mukhopadhyay , Ranchu Mathew , Soumyendu Raha

In this paper we study the effects of rotation in low-mass, low-metallicity RGB stars. We present the first evolutionary models taking into account self-consistently the latest prescriptions for the transport of angular momentum by…

Astrophysics · Physics 2009-11-11 A. Palacios , C. Charbonnel , S. Talon , L. Siess

Tayler instability of toroidal magnetic fields $B_\phi$ is broadly invoked as a trigger for turbulence and angular momentum transport in stars. This paper presents a systematic revision of the linear stability analysis for a rotating,…

Solar and Stellar Astrophysics · Physics 2024-10-29 Valentin A. Skoutnev , Andrei M. Beloborodov

During the various steps of stellar evolution are formed convectives zones that alter the chemical stratification in stars. Usually, in astrophysics is used the Mixing Length Theory (MLT) for modeling the convective movement and, in…

Solar and Stellar Astrophysics · Physics 2024-12-18 M. M. Ocampo , M. M. Miller Bertolami , L. G. Althaus , F. C Wachlin

Studies have shown that in sheared $\mathbf{E}\times\mathbf{B}$ flows in an inhomogeneous ionospheric plasma, the gradient drift (GDI) or the Kelvin-Helmholtz (KHI) instability may grow. This work examines the conditions that cause one of…

Plasma Physics · Physics 2021-06-02 C. Rathod , B. Srinivasan , W. Scales

Turbulent transport driven by secular shear instabilities can lead to enhanced vertical mixing in hot Jupiter atmospheres, impacting their cloudiness, chemistry and overall vertical structure. We discuss the turbulent regime expected and…

Earth and Planetary Astrophysics · Physics 2022-10-26 Kristen Menou

The vertical shear instability and the streaming instability are two robust sources of turbulence in protoplanetary disks. The former has been found to induce anisotropic turbulence that is stronger in the vertical than in the radial…

Earth and Planetary Astrophysics · Physics 2025-01-15 Urs Schäfer , Anders Johansen , Mario Flock

Instabilities at interface of two stream granular flows have been reported in recent experiment [1] that breaking waves can form at the interface between two streams of identical grains flowing on an inclined plane downstream of a splitter…

Classical Physics · Physics 2007-05-23 Hua-Shu Dou , Boo Cheong Khoo , Nhan Phan-Thien

Barotropic rotation and radiative equilibrium are mutually incompatible in stars. The issue is often addressed by allowing for a meridional circulation, but this is not devoid of theoretical complications. Models of rotation in the Sun…

Solar and Stellar Astrophysics · Physics 2016-02-17 Andrea Caleo , Steven A. Balbus

This paper reviews some aspects of one of the major unsolved problems in understanding astrophysical (in particular, accretion) disks: whether the disk interiors may be effectively viscous in spite of the absence of marnetorotational…

High Energy Astrophysical Phenomena · Physics 2015-12-31 Dmitry N. Razdoburdin , Viacheslav V. Zhuravlev

Aims. Qualitative analysis of key (but yet unappreciated) linear phenomena in stratified hydrodynamic Keplerian flows: (i) the occurrence of a vortex mode, as a consequence of strato-rotational balance, with its transient dynamics; (ii) the…

Astrophysics · Physics 2009-11-13 A. G. Tevzadze , G. D. Chagelishvili , J. -P. Zahn

Chemical composition is an important factor that affects stellar evolution. The element abundance on the stellar surface evolves along the lifetime of the star because of transport processes, including atomic diffusion. However, models of…

Solar and Stellar Astrophysics · Physics 2022-10-05 Nuno Moedas , Morgan Deal , Diego Bossini , Bernardo Campilho

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

A linearly unstable, sinusoidal $E \times B$ shear flow is examined in the gyrokinetic framework in both the linear and nonlinear regimes. In the linear regime, it is shown that the eigenmode spectrum is nearly identical to hydrodynamic…

Plasma Physics · Physics 2019-03-27 A. E. Fraser , M. J. Pueschel , P. W. Terry , E. G. Zweibel

Stability analysis of two-fluid protoplanetary disc models has enriched our understanding of how solids can grow into larger bodies called planetesimals. Dust particles entrained in a gas stream modify the flow, creating shear layers prone…