Ring Formation in Protoplanetary Disks Driven by an Eccentric Instability

Abstract

We find that, under certain conditions, protoplanetary disks may spontaneously generate multiple, concentric gas rings without an embedded planet through an eccentric cooling instability. Using both linear theory and non-linear hydrodynamics simulations, we show that a variety of background states may trap a slowly precessing, one-armed spiral mode that becomes unstable when a gravitationally-stable disk rapidly cools. The angular momentum required to excite this spiral comes at the expense of non-uniform mass transport that generically results in multiple rings. For example, one long-term hydrodynamics simulation exhibits four long-lived, axisymmetric gas rings. We verify the instability evolution and ring formation mechanism from first principles with our linear theory, which shows remarkable agreement with the simulation results. Dust trapped in these rings may produce observable features consistent with observed disks. Additionally, direct detection of the eccentric gas motions may be possible when the instability saturates, and any residual eccentricity leftover in the rings at later times may also provide direct observational evidence of this mechanism.

18 pages, 12 figures, accepted to ApJ

References in corpus (55)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• The NumPy array: a structure for efficient numerical computation
• Spectral Energy Distributions of T Tauri Stars With Passive Circumstellar Disks
• First Results from High Angular Resolution ALMA Observations Toward the HL Tau Region
• The Disk Substructures at High Angular Resolution Project (DSHARP): I. Motivation, Sample, Calibration, and Overview
• Nonlinear Outcome of Gravitational Instability in Cooling, Gaseous Disks
• ALMA Survey of Lupus Protoplanetary Disks I: Dust and Gas Masses
• A Major Asymmetric Dust Trap in a Transition Disk
• Ringed Substructure and a Gap at 1 AU in the Nearest Protoplanetary Disk
• Gravitational Instabilities in Circumstellar Disks
• The Disk Substructures at High Angular Resolution Project (DSHARP): II. Characteristics of Annular Substructures
• A comparative study of disc-planet interaction
• The Disk Substructures at High Angular Resolution Project (DSHARP): VII. The Planet-Disk Interactions Interpretation
• Gaps, Rings, and Non-Axisymmetric Structures in Protoplanetary Disks - From Simulations to ALMA Observations
• The locality of transport in self-gravitating accretion discs
• An ALMA Survey of Protoplanetary Disks in the $\sigma$ Orionis Cluster
• Sintering-induced Dust Ring Formation in Protoplanetary Disks: Application to the HL Tau Disk
• Observational Signatures of Planets in Protoplanetary Disks I: Gaps Opened by Single and Multiple Young Planets in Disks
• A Three-Dimensional View of Turbulence: Constraints on Turbulent Motions in the HD 163296 Protoplanetary Disk using DCO${}^{+}$
• On planet formation in HL Tau
• Testing the locality of transport in self-gravitating accretion discs - II. The massive disc case
• Turbulence in the TW Hya Disk
• Multiple Disk Gaps and Rings Generated by a Single Super-Earth
• Four annular structures in a protostellar disk less than 500,000 years old
• Measuring turbulent motion in planet-forming disks with ALMA: A detection around DM Tau and non-detections around MWC 480 and V4046 Sgr
• A Spitzer Census of Transitional Protoplanetary Disks with AU-Scale Inner Holes
• The Disk Substructures at High Angular Resolution Project (DSHARP): III. Spiral Structures in the Millimeter Continuum of the Elias 27, IM Lup, and WaOph 6 Disks
• Local Enhancement of Surface Density in the Protoplanetary Ring Surrounding HD 142527
• Non-linear fluid dynamics of eccentric discs
• Potential Vorticity Evolution of a Protoplanetary Disk with An Embedded Protoplanet
• Type I Planet Migration in Nearly Laminar Disks
• Evolution of protoplanetary disks from their taxonomy in scattered light: spirals, rings, cavities, and shadows
• Modeling Dust Emission of HL Tau Disk Based on Planet-Disk Interactions
• Effects of dust feedback on vortices in protoplanetary disks
• Global m=1 modes and migration of protoplanetary cores in eccentric protoplanetary discs
• The dynamics of eccentric accretion discs in superhump systems
• Planet formation by pebble accretion in ringed disks
• Growth of eccentric modes in disc-planet interactions
• Ring formation and dust dynamics in wind-driven protoplanetary discs: global simulations
• Slow modes in Keplerian disks
• Spontaneous ring formation in wind-emitting accretion discs
• The Formation of Uranus & Neptune: Challenges and Implications For Intermediate-Mass Exoplanets
• Revised description of dust diffusion and a new instability creating multiple rings in protoplanetary disks
• Three-dimensional eccentric discs around Be stars
• The effects of disk self-gravity and radiative cooling on the formation of gaps and spirals by young planets
• On the planetary interpretation of multiple gaps and rings in protoplanetary disks seen by ALMA
• Long-Lived Eccentric Modes in Circumbinary Disks
• Edge modes in self-gravitating disc-planet interactions
• Pileups and Migration Rates for Planets in Low Mass Disks
• Ultraharmonics and Secondary Spiral Wakes Induced by a Planet
• One-armed spirals in locally isothermal, radially structured self-gravitating discs
• Intermittent planet migration and the formation of multiple dust rings and gaps in protoplanetary disks
• Eccentric Modes in Disks With Pressure and Self-Gravity
• A Fast Potential and Self-Gravity Solver for Non-Axisymmetric Disks
• Long-Lived Eccentricities in Accretion Disks

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