Parametric Study of the Rossby Wave Instability in a Two-Dimensional Barotropic Disk

Abstract

Protoplanetary disks with non-axisymmetric structures have been observed. The Rossby wave instability (RWI) is considered as one of the origins of the non-axisymmetric structures. We perform linear stability analyses of the RWI in barotropic flow using four representative types of the background flow on a wide parameter space. We find that the co-rotation radius is located at the background vortensity minimum with large concavity if the system is marginally stable to the RWI, and this allows us to check the stability against the RWI easily. We newly derive the necessary and sufficient condition for the onset of the RWI in semi-analytic form. We discuss the applicability of the new condition in realistic systems and the physical nature of the RWI.

arXiv comment31 pages, 19 figures, 2 tables, accepted for publication in ApJ

References in corpus (30)

• Rossby Wave Instability of Keplerian Accretion Disks
• A Major Asymmetric Dust Trap in a Transition Disk
• Rossby Wave Instability of Thin Accretion Disks -- II. Detailed Linear Theory
• Rossby Wave Instability of Thin Accretion Disks - III. Nonlinear Simulations
• Large-Scale Asymmetries in the Transitional Disks of SAO 206462 and SR 21
• Planet formation bursts at the borders of the dead zone in 2D numerical simulations of circumstellar disks
• Reviving Dead Zones in Accretion Disks by Rossby Vortices at their Boundaries
• Local Enhancement of Surface Density in the Protoplanetary Ring Surrounding HD 142527
• Potential Vorticity Evolution of a Protoplanetary Disk with An Embedded Protoplanet
• Type I Planet Migration in Nearly Laminar Disks
• Embryos grown in the dead zone: Assembling the first protoplanetary cores in low mass self-gravitating circumstellar disks of gas and solids
• Rossby Wave Instability and three-dimensional vortices in accretion disks
• Formation and long-term evolution of 3D vortices in protoplanetary discs
• Rossby wave instability at dead zone boundaries in 3D resistive magnetohydrodynamical global models of protoplanetary disks
• Rossby wave instability in locally isothermal and polytropic disks: three-dimensional linear calculations
• Rossby Wave Instability in three dimensional discs
• Gas and dust hydrodynamical simulations of massive lopsided transition discs - I. Gas distribution
• The effect of self-gravity on vortex instabilities in disc-planet interactions
• Vortex and spiral instabilities at gap edges in three-dimensional self-gravitating disc-satellite simulations
• Rossby Wave Instability with Self-Gravity
• Super-Reflection in Fluid Discs: Corotation Amplifier, Corotation Resonance, Rossby Waves, and Overstable Modes
• Fast Modes and Dusty Horseshoes in Transitional Disks
• Structure, stability and evolution of 3D Rossby vortices in protoplanetary disks
• Trapping of giant-planet cores - I. Vortex aided trapping at the outer dead zone edge
• Type III migration in a low viscosity disc
• Testing large-scale vortex formation against viscous layers in three-dimensional discs
• Potential vorticity dynamics in the framework of disk shallow-water theory: I. The Rossby wave instability
• Non-barotropic linear Rossby wave instability in three-dimensional disks
• Rotational Instability in the Outer Region of Protoplanetary Disks
• On the mechanism of self gravitating Rossby interfacial waves in proto-stellar accretion discs

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