Rossby Wave Instability with Self-Gravity

Abstract

The Rossby wave instability (RWI) in non-self-gravitating discs can be triggered by a bump at a radius $r_0$ in the disc surface mass-density (which is proportional to the inverse potential vorticity). It gives rise to a growing non-axisymmetric perturbation [$\propto \exp (im\varphi )$, $m=1,\mathrm{2..}$] in the vicinity of $r_0$ consisting of anticyclonic vortices which may facilitate planetesimal growth in protoplanetary discs. Here, we analyze a continuum of thin disc models ranging from self-gravitating to non-selfgravitating. The key quantities determining the stability/instability are: (1) the parameters of the bump (or depression) in the disc surface density, (2) the Toomre $Q$ parameter of the disc (a non-self-gravitating disc has $Q\gg 1$), and (3) the dimensionless azimuthal wavenumber of the perturbation ${\bar{k}}_{\varphi }=mQh/r_0$, where $h$ is the half-thickness of the disc. For discs stable to axisymmetric perturbations ($Q>1$), the self-gravity has a significant role for ${\bar{k}}_{\varphi }<\pi /2$ or $m<(\pi /2)(r_0/h)Q^{-1}$; instability may occur for a depression or groove in the surface density if $Q\lesssim 2$. For ${\bar{k}}_{\varphi }>\pi /2$ the self-gravity is not important, and instability may occur at a bump in the surface density. Thus, for all mode numbers $m\ge 1$, the self-gravity is unimportant for $Q>(\pi /2)(r_0/h)$. We suggest that the self-gravity be included in simulations for cases where $Q<(r_0/h)$.

5 pages, 5 figures

References in corpus (4)

• Planet formation bursts at the borders of the dead zone in 2D numerical simulations of circumstellar disks
• Accretion-Ejection Instability, MHD Rossby Wave Instability, diskoseismology, and the high-frequency QPO of microquasars
• Rossby Wave Instability in three dimensional discs
• Stability of the Magnetopause of Disk-Accreting Rotating Stars

Cited by in corpus (35)

• Particle Concentration At Planet Induced Gap Edges and Vortices: I. Inviscid 3-D Hydro Disks
• Non-linear violent disc instability with high Toomre's Q in high-redshift clumpy disc galaxies
• Anisotropic Infall and Substructure formation in Embedded Disks
• Vortex formation in protoplanetary discs induced by the vertical shear instability
• Parametric Study of the Rossby Wave Instability in a Two-Dimensional Barotropic Disk
• Dust traps in the protoplanetary disc MWC 758: two vortices produced by two giant planets?
• Gas and dust hydrodynamical simulations of massive lopsided transition discs - I. Gas distribution
• Connecting Clump Sizes in Turbulent Disk Galaxies to Instability Theory
• Rossby Wave Instability in Astrophysical Discs
• Planet-induced Vortices with Dust Coagulation in Protoplanetary Disks
• The Observability Of Vortex-Driven Spiral Arms In Protoplanetary Disk: Basic Spiral Properties
• Parametric Study of the Rossby Wave Instability in a Two-dimensional Barotropic Disk II: Non-Linear Calculations
• Non-barotropic linear Rossby wave instability in three-dimensional disks
• Vortex stretching in self-gravitating protoplanetary discs
• Gap formation and stability in non-isothermal protoplanetary discs
• Which planets trigger longer-lived vortices: low-mass or high-mass?
• Survival of planet-induced vortices in 2D disks
• Planetesimal formation in self-gravitating discs -- dust trapping by vortices
• Rossby Wave Instability and Long-Term Evolution of Dead Zones in Protoplanetary Discs
• Intermittent planet migration and the formation of multiple dust rings and gaps in protoplanetary disks
• Interpreting Brightness Asymmetries in Transition Disks: Vortex at Dead Zone or Planet Carved Gap Edges?
• Planet-vortex interaction:How a vortex can shepherd a planetary embryo
• Vortex survival in 3D self-gravitating accretion discs
• On the evolution of vortices in massive protoplanetary discs
• Kelvin-Helmholtz Instability of Counter-Rotating Discs
• Regulation of star formation by large scale gravito-turbulence
• On the vortex evolution in non-isothermal protoplanetary discs
• How to form compact & other longer-lived planet-induced vortices: VSI, planet migration, or re-triggers, but not feedback
• Rossby-wave instability in viscous discs
• Migration jumps of planets in transition disks
• On the mechanism of self gravitating Rossby interfacial waves in proto-stellar accretion discs
• Non-axisymmetric instabilities in discs with imposed zonal flows
• Self-gravity in thin-disc simulations of protoplanetary discs: smoothing length rectified and generalised to bi-fluids
• On the evolution of vortex in locally isothermal self-gravitating discs: a parameter study
• Morphology and dynamical stability of self-gravitating vortices: Numerical simulations