Convective overstability in accretion disks: 3D linear analysis and nonlinear saturation

Abstract

Recently, Klahr & Hubbard (2014) claimed that a hydrodynamical linear overstability exists in protoplanetary disks, powered by buoyancy in the presence of thermal relaxation. We analyse this claim, confirming it through rigorous compressible linear analysis. We model the system numerically, reproducing the linear growth rate for all cases studied. We also study the saturated properties of the overstability in the shearing box, finding that the saturated state produces finite amplitude fluctuations strong enough to trigger the subcritical baroclinic instability. Saturation leads to a fast burst of enstrophy in the box, and a large-scale vortex develops in the course of the next $\approx$100 orbits. The amount of angular momentum transport achieved is of the order of $\alpha \approx 10^{-3}$, as in compressible SBI models. For the first time, a self-sustained 3D vortex is produced from linear amplitude perturbation of a quiescent base state.

arXiv comment7 pages, 4 figures. ApJ, accepted

References in corpus (20)

• Protoplanetary Disk Structures in Ophiuchus
• Linear and nonlinear evolution of the vertical shear instability in accretion discs
• Turbulence in Accretion Disks. Vorticity Generation and Angular Momentum Transport via the Global Baroclinic Instability
• The excitation of spiral density waves through turbulent fluctuations in accretion discs II: Numerical Simulations with MRI driven turbulence
• The subcritical baroclinic instability in local accretion disc models
• Planet formation bursts at the borders of the dead zone in 2D numerical simulations of circumstellar disks
• Convective Overstability in radially stratified accretion disks under thermal relaxation
• A Well-Posed Kelvin-Helmholtz Instability Test and Comparison
• Baroclinic Vorticity Production in Protoplanetary Disks; Part I: Vortex Formation
• Formation of Giant Planets by Concurrent Accretion of Solids and Gas inside an Anti-Cyclonic Vortex
• Embryos grown in the dead zone: Assembling the first protoplanetary cores in low mass self-gravitating circumstellar disks of gas and solids
• The baroclinic instability in the context of layered accretion. Self-sustained vortices and their magnetic stability in local compressible unstratified models of protoplanetary disks
• Baroclinic Vorticity Production in Protoplanetary Disks; Part II: Vortex Growth and Longevity
• The Global Baroclinic Instability in Accretion Disks. II: Local Linear Analysis
• The excitation of spiral density waves through turbulent fluctuations in accretion discs I: WKBJ theory
• Vortices in Thin, Compressible, Unmagnetized Disks
• Global magnetohydrodynamical models of turbulence in protoplanetary disks I. A cylindrical potential on a Cartesian grid and transport of solids
• Energetic Protons, Radionuclides and Magnetic Activity in Protostellar Disks
• A Parameter Study for Baroclinic Vortex Amplification
• A Weakly nonlinear theory for spiral density waves excited by accretion disc turbulence

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