Rossby Wave Instabilities of Protoplanetary Discs with Cooling
arXiv:2205.11969 · doi:10.1093/mnras/stac1464
Abstract
Rossby wave instabilities (RWIs) usually lead to nonaxisymmetric vortices in protoplanetary discs and some observed sub-structures of these discs can be well explained by RWIs. We explore how the cooling influences the growth rate of unstable RWI modes in terms of the linear perturbation analysis. The cooling associated with the energy equation is treated in two different ways. The first one we adopt is a simple cooling law. The perturbed thermal state relaxes to the initial thermal state on a prescribed cooling timescale. In the second, we treat the cooling as a thermal diffusion process. The difference in the growth rate between the adiabatic and isothermal modes becomes more pronounced for discs with smaller sound speed. For the simple cooling law, the growth rates of unstable modes monotonically decrease with the shorter cooling timescale in barotropic discs. But the dependence of growth rate with the cooling timescale becomes non-monotonic in non-baratopic discs. The RWI might even be enhanced in non-barotropic discs during the transition from the adiabatic state to the isothermal state. When the cooling is treated as the thermal diffusion, even in barotropic disc, the variation of growth rate with thermal diffusivity becomes non-monotonic. Further more, a maximum growth rate may appear with an appropriate value of thermal diffusivity. The angular momentum flux (AMF) is investigated to understand the angular momentum transport by RWI with cooling.
arXiv comment9 pages, 10 figures, accepted for publication in MNRAS
References in corpus (43)
- Rossby Wave Instability of Keplerian Accretion Disks
- A Major Asymmetric Dust Trap in a Transition Disk
- A torque formula for non-isothermal Type I planetary migration - II. Effects of diffusion
- Turbulence in Accretion Disks. Vorticity Generation and Angular Momentum Transport via the Global Baroclinic Instability
- Rossby Wave Instability of Thin Accretion Disks -- II. Detailed Linear Theory
- Rossby Wave Instability of Thin Accretion Disks - III. Nonlinear Simulations
- Compact Disks in a High Resolution ALMA Survey of Dust Structures in the Taurus Molecular Cloud
- Large-Scale Asymmetries in the Transitional Disks of SAO 206462 and SR 21
- Multiple Disk Gaps and Rings Generated by a Single Super-Earth
- The subcritical baroclinic instability in local accretion disc models
- Dust depleted inner disks in a large sample of transition disks through long-baseline ALMA observations
- 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
- Particle-Gas Dynamics with Athena: Method and Convergence
- Steady state of dust distributions in disk vortices: Observational predictions and applications to transitional disks
- On disc protoplanet interactions in a non-barotropic disc with thermal diffusion
- Baroclinic Vorticity Production in Protoplanetary Disks; Part I: Vortex Formation
- On the diversity of asymmetries in gapped protoplanetary disks
- Embryos grown in the dead zone: Assembling the first protoplanetary cores in low mass self-gravitating circumstellar disks of gas and solids
- Coorbital thermal torques on low-mass protoplanets
- Rossby Wave Instability and three-dimensional vortices in accretion disks
- Baroclinic Vorticity Production in Protoplanetary Disks; Part II: Vortex Growth and Longevity
- The Formation and Role of Vortices in Protoplanetary Disks
- How Spirals and Gaps Driven by Companions in Protoplanetary Disks Appear in Scattered Light at Arbitrary Viewing Angles
- Parametric Study of the Rossby Wave Instability in a Two-Dimensional Barotropic Disk
- Rossby wave instability in locally isothermal and polytropic disks: three-dimensional linear calculations
- Planet-disk interaction in disks with cooling: basic theory
- Rossby Wave Instability in three dimensional discs
- Corotational Instability of Inertial-Acoustic Modes in Black Hole Accretion Discs and Quasi-Periodic Oscillations
- On the planetary interpretation of multiple gaps and rings in protoplanetary disks seen by ALMA
- Super-Reflection in Fluid Discs: Corotation Amplifier, Corotation Resonance, Rossby Waves, and Overstable Modes
- Structure, stability and evolution of 3D Rossby vortices in protoplanetary disks
- Potential vorticity dynamics in the framework of disk shallow-water theory: I. The Rossby wave instability
- Parametric Study of the Rossby Wave Instability in a Two-dimensional Barotropic Disk II: Non-Linear Calculations
- Local Simulations of Heating Torques on a Luminous Body in an Accretion Disk
- Gap formation and stability in non-isothermal protoplanetary discs
- Cooling-Induced Vortex Decay in Keplerian Disks
- Vortices in stratified protoplanetary disks : From baroclinic instability to vortex layers
- Nonaxisymmetric Rossby Vortex Instability with Toroidal Magnetic Fields in Radially Structured Disks
- Vortex Formation and Evolution in Planet Harboring Disks under Thermal Relaxation
- Vortex survival in 3D self-gravitating accretion discs
- On the evolution of vortices in massive protoplanetary discs
- On the vortex evolution in non-isothermal protoplanetary discs
Cited by in corpus (5)
- Three-temperature radiation hydrodynamics with PLUTO: Tests and applications to protoplanetary disks
- On the Origin of Dust Structures in Protoplanetary Disks: Constraints from the Rossby Wave Instability
- Emergence of vortices at the edges of planet-driven gaps in protoplanetary discs
- Boundary Layers of Circumplanetary Disks around Spinning Planets I. Effects of Rossby Waves
- Stability of Dusty Rings in Protoplanetary Discs