Long-Lived Eccentric Modes in Circumbinary Disks
arXiv:2008.08085 · doi:10.3847/1538-4357/abc74c
Abstract
Hydrodynamical simulations show that circumbinary disks become eccentric, even when the binary is circular. Here we demonstrate that, in steady state, the disk's eccentricity behaves as a long-lived free mode trapped by turning points that naturally arise from a continuously truncated density profile. Consequently, both the disk's precession rate and eccentricity profile may be calculated via the simple linear theory for perturbed pressure-supported disks. By formulating and solving the linear theory we find that (i) surprisingly, the precession rate is roughly determined by the binary's quadrupole, even when the quadrupole is very weak relative to pressure; (ii) the eccentricity profile is largest near the inner edge of the disk, and falls exponentially outwards; and (iii) the results from linear theory indeed agree with what is found in simulations. Understanding the development of eccentric modes in circumbinary disks is a crucial first step for understanding the long term (secular) exchange of eccentricity, angular momentum and mass between the binary and the gas. Potential applications include the search for a characteristic kinematic signature in disks around candidate binaries and precession-induced modulation of accretion over long timescales.
arXiv comment11 pages, 11 figures (accepted to ApJ)
References in corpus (43)
- E pur si muove: Galiliean-invariant cosmological hydrodynamical simulations on a moving mesh
- An Eccentric Circumbinary Accretion Disk and the Detection of Binary Massive Black Holes
- Binary Black Hole Accretion From a Circumbinary Disk: Gas Dynamics Inside the Central Cavity
- Improving the convergence properties of the moving-mesh code AREPO
- Eccentricity Evolution for Planets in Gaseous Disks
- Three Dimensional MHD Simulation of Circumbinary Accretion Disks: Disk Structures and Angular Momentum Transport
- Predicting the Properties of Binary Stellar Systems: The Evolution of Accreting Protobinary Systems
- Hydrodynamics of circumbinary accretion: Angular momentum transfer and binary orbital evolution
- The Disk Around CoKu Tau/4: Circumbinary, not Transitional
- Limiting eccentricity of sub-parsec massive black hole binaries surrounded by self-gravitating gas discs
- Viscous Hydrodynamics Simulations of Circumbinary Accretion Discs: Variability, Quasi-Steady State, and Angular Momentum Transfer
- Tidal Truncation of Inclined Circumstellar and Circumbinary Discs in Young Stellar Binaries
- Hydrodynamic Torques in Circumbinary Accretion Disks
- Circumbinary Accretion from Finite and Infinite Disks
- Gas-driven inspiral of binaries in thin accretion disks
- Non-linear fluid dynamics of eccentric discs
- Planetesimal and gas dynamics in binaries
- Simulations of eccentric disks in close binary systems
- Eccentric Jupiters via Disk-Planet Interactions
- Pulsed Accretion onto Eccentric and Circular Binaries
- Global m=1 modes and migration of protoplanetary cores in eccentric protoplanetary discs
- Precession and accretion in circumbinary discs: The case of HD 104237
- The dynamics of eccentric accretion discs in superhump systems
- Circumbinary discs: Numerical and physical behaviour
- Growth of eccentric modes in disc-planet interactions
- New developments for modern celestial mechanics. I. General coplanar three-body systems. Application to exoplanets
- Slow modes in Keplerian disks
- An Elementary Introduction to the JWKB Approximation
- Three-dimensional eccentric discs around Be stars
- Birth Locations of the Kepler Circumbinary Planets
- Accretion and Magnetic Reconnection in the Classical T Tauri Binary DQ Tau
- Secular evolution of eccentricity in protoplanetary discs with gap-opening planets
- Spectral signatures of disk eccentricity in young binary systems: I. Circumprimary case
- Pileups and Migration Rates for Planets in Low Mass Disks
- Fast and Slow Precession of Gaseous Debris Disks Around Planet-Accreting White Dwarfs
- A Simple Family of Models for Eccentric Keplerian Fluid Disks
- Accretion and Orbital Inspiral in Gas-Assisted Supermassive Black Hole Binary Mergers
- Inner Boundary Condition in Quasi-Lagrangian Simulations of Accretion Disks
- Multi-Dimensional, Compressible Viscous Flow on a Moving Voronoi Mesh
- Mean-motion resonances in satellite-disc interactions
- Eccentric Modes in Disks With Pressure and Self-Gravity
- Long-Lived Eccentricities in Accretion Disks
- Accretion Kinematics in the T Tauri Binary TWA 3A: Evidence for Preferential Accretion onto the TWA 3A Primary
Cited by in corpus (37)
- Orbital Evolution of Equal-mass Eccentric Binaries due to a Gas Disk: Eccentric Inspirals and Circular Outspirals
- The evolution of large cavities and disc eccentricity in circumbinary discs
- Black Hole Binary Formation in AGN Discs: From Isolation to Merger
- A Survey of Disc Thickness and Viscosity in Circumbinary Accretion: Binary Evolution, Variability, and Disc Morphology
- Mass-ratio and Magnetic Flux-Dependence of Modulated Accretion from Circumbinary Disks
- Preferential Accretion and Circumbinary Disk Precession in Eccentric Binary Systems
- Mini-disk accretion onto spinning black hole binaries: quasi-periodicities and outflows
- Electromagnetic Signatures from Supermassive Binary Black Holes Approaching Merger
- Preventing Anomalous Torques in Circumbinary Accretion Simulations
- Long-term Evolution of Binary Orbits Induced by Circumbinary Disks
- Gas Assisted Binary Black Hole Formation in AGN Discs
- Outward Migration of Super-Jupiters
- How Binaries Accrete: Hydrodynamic Simulations with Passive Tracer Particles
- Circumbinary discs for stellar population models
- A coplanar circumbinary protoplanetary disk in the TWA 3 triple M dwarf system
- How cooling influences circumbinary discs
- Post-dynamical inspiral phase of common envelope evolution: Binary orbit evolution and angular momentum transport
- On the Role of Gas Cooling in the Dynamics of Circumbinary Disks
- Disk induced binary precession: Implications for dynamics and multi-messenger observations of black hole binaries
- Minidisk Influence on Flow Variability in Accreting Spinning Black Hole Binaries: Simulations in Full General Relativity
- Probing the eccentricity in protostellar discs -- Modeling kinematics and morphologies
- Magnetically Arrested Circumbinary Accretion Flows
- Viscous circumbinary protoplanetary discs -- I. Structure of the inner cavity
- Accretion onto a binary from a polar circumbinary disc
- Orbital dynamics in the GG Tau A system: investigating its enigmatic disc
- General Relativistic Magnetohydrodynamic Simulations of Accretion Disks Around Tilted Binary Black Holes of Unequal Mass
- Ring Formation in Protoplanetary Disks Driven by an Eccentric Instability
- Post-dynamical inspiral phase of common envelope evolution. The role of magnetic fields
- Forced Eccentricity in Circumbinary Discs
- The likelihood of not detecting cavity-carving companions in transition discs -- A statistical approach
- Journey to the center of the common envelope evolution. Inner dynamics of the post-dynamical inspiral
- Hot, cold, and multi-component accretion flows around supermassive black hole binaries
- Stability of coorbital planets around binaries
- Eccentric Disks from Gaseous Rings around Equal-Mass, Circular Binaries
- The influence of tight binaries on proto-planetary disk masses
- Insights from Analytical Theory of Eccentric Circumbinary Disks
- The morphology of CSCha circumbinary disk suggesting the existence of a Saturn-mass planet