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The stability of a rotating fluid disk to the formation of spiral arms is studied in the tightwinding approximation in the linear regime. The dispersion relation for spirals that was derived by Bertin et al. is shown to contain a new,…

Astrophysics · Physics 2009-10-31 L. E. Montenegro , C. Yuan , B. G. Elmegreen

Accretion disks in close binary systems are subject to a tidally driven parametric instability which leads to the growth of internal waves near the outer edges of such disks (Goodman 1993). These waves are important in understanding the…

Astrophysics · Physics 2009-10-28 Ethan T. Vishniac , Changsong Zhang

Gravitational stability of a disc consisting of the gaseous and the stellar components are studied in the linear regime when the gaseous component is turbulent. A phenomenological approach is adopted to describe the turbulence, in which not…

Astrophysics of Galaxies · Physics 2015-06-03 Mohsen Shadmehri , Fazeleh Khajenabi

We investigate the linear tidal perturbation of a viscous Keplerian disk by a companion star orbiting in a plane inclined to the disk. We consider m=1 perturbations with odd symmetry with respect to the z=0 midplane. Since the response of a…

Astrophysics · Physics 2009-10-31 Caroline E. J. M. L. J. Terquem

We present a perturbation theory for studying the instabilities of non-axisymmetric gaseous discs. We perturb the dynamical equations of self-gravitating fluids in the vicinity of a non-axisymmetric equilibrium, and expand the perturbed…

Astrophysics · Physics 2009-11-11 Naser M. Asghari , Mir Abbas Jalali

We determine the torque exerted in a steady state by an external potential on a three-dimensional gaseous disk at a non-coorbital corotation resonance. Our model accounts for the feedback of the torque on the surface density and vorticity…

Astrophysics · Physics 2009-11-07 G. I. Ogilvie , S. H. Lubow

We obtain a general solution for the probability density function of wave intensities in non-stationary Wave Turbulence. The solution is expressed in terms of the wave action spectrum evolving according the the wave-kinetic equation. We…

Statistical Mechanics · Physics 2017-09-13 Yeontaek Choi , Young-Sam Kwon , Sanggyu Jo , Sergey Nazarenko

Astrophysical disks that are sufficiently cold and dense are linearly unstable to the formation of axisymmetric rings as a result of the disk's gravity. In practice, spiral structures are formed, which may in turn produce bound fragments.…

Earth and Planetary Astrophysics · Physics 2022-08-17 Hongping Deng , Gordon I. Ogilvie

We investigate the tilting and warping of galactic disks in response to tidal torquing. The strength of the torque is determined from cosmological N-body simulations. We find the tidal torques to be dominated by substructure in the galactic…

Astrophysics · Physics 2008-11-26 J. Bailin , M. Steinmetz

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 describe the random motion of a particle immersed in a thermally fluctuating medium and harmonically trapped at a certain distance from a wall. The medium, modeled by a Gaussian field with a tunable correlation length $\xi$, is linearly…

Statistical Mechanics · Physics 2025-11-27 Marcin Piotr Pruszczyk , Andrea Gambassi

We have used a set of equations developed by Pringle (1992) to follow the evolution of a viscous twisted disk in a galaxy-like potential which is stationary or tumbling relative to inertial space. In an axisymmetric potential, the disk…

Astrophysics · Physics 2009-10-28 Wesley N. Colley , Linda S. Sparke

Thin disk accretion is often modeled in highly dynamical settings using the two-dimensional equations of viscous hydrodynamics, with viscosity representing unresolved turbulence. These equations are supposed to arise after vertical…

High Energy Astrophysical Phenomena · Physics 2023-04-24 John Ryan Westernacher-Schneider

We study the excitation of density and bending waves and the associated angular momentum transfer in gaseous disks with finite thickness by a rotating external potential. The disk is assumed to be isothermal in the vertical direction and…

Astrophysics · Physics 2009-11-11 Hang Zhang , Dong Lai

The theoretical understanding of density waves in disk galaxies starts from the classical WKB perturbative analysis of tight-winding perturbations, the key assumption being that the potential due to the density wave is approximately radial.…

Astrophysics of Galaxies · Physics 2011-09-14 X. Hernandez , I. Puerari

It has long been a standard practice to neglect diffusive effects in stability analyses of detonation waves. Here, with the principal aim of quantifying the impact of these oft-neglected effects on the stability characteristics of such…

Analysis of PDEs · Mathematics 2017-06-09 Blake Barker , Jeffrey Humpherys , Gregory Lyng , Kevin Zumbrun

The dynamics of a tagged particle immersed in a fluid of particles of the same size but different mass is studied when the system is confined between two hard parallel plates separated a distance smaller than twice the diameter of the…

Statistical Mechanics · Physics 2022-12-06 P. Maynar , M. I. García de Soria , J. Javier Brey

Many accretion discs have been found to be distorted: either warped due a misalignment in the system, or non-circular as a result of orbital eccentricity or tidal deformation by a binary companion. Warped, eccentric, and tidally distorted…

Solar and Stellar Astrophysics · Physics 2024-09-19 Loren E. Held , Gordon I. Ogilvie

The nonlinear collisional dynamics of coupled driven plasma waves in the presence of background dissipation is studied analytically within kinetic theory. Sufficiently near marginal stability, phase space correlations are poorly preserved…

Plasma Physics · Physics 2023-05-18 N. M. Pham , V. N. Duarte

Analytical expressions for the axial and transverse acoustic radiation forces as well as the radiation torque per length are derived for a rigid elliptical cylinder placed arbitrarily in the field of in plane progressive, quasi-standing or…

Classical Physics · Physics 2020-07-21 F. G. Mitri
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