On Constraining the Growth History of Massive Black Holes via Their Distribution on the Spin-Mass Plane

Abstract

The spin distribution of massive black holes (MBHs) contains rich information on the MBH growth history. In this paper, we investigate the spin evolution of MBHs by assuming that each MBH experiences two-phase accretion, with an initial phase of coherent-accretion via either the standard thin disc or super-Eddington disc, followed by a chaotic-accretion phase composed of many episodes with different disc orientations. If the chaotic-phase is significant to the growth of an MBH, the MBH spin quickly reaches the maximum value because of the initial coherent-accretion, then changes to a quasi-equilibrium state and fluctuates around a value mainly determined by the mean ratio of the disc to the MBH mass ($M_{\bullet }$) in the chaotic-accretion episodes, and further declines due to late chaotic-accretion if $M_{\bullet }\gtrsim (1-3)\times 10^8{M}_{\odot }$. The turning point to this decline is determined by the equality of the disc warp radius and disc size. By matching the currently available spin measurements with mock samples generated from the two-phase model(s) on the spin-mass plane, we find that MBHs must experience significant chaotic-accretion phase with many episodes and the mass accreted in each episode is roughly 1-2 percent of M_bh or less. MBHs with $M_{\bullet }\gtrsim 10^8{M}_{\odot }$ appear to have intermediate-to-high spins ($\sim 0.5-1$), while lighter MBHs have higher spins ($\gtrsim 0.8$). The best matches also infer that (1) the radiative efficiencies ($\eta$) of those active MBHs appear to slightly decrease with $M_{\bullet }$; however, the correlation between $\eta$ and $M_{\bullet }$, if any, is weak; (2) the mean radiative efficiency of active MBHs is $<\eta >\sim 0.09-0.15$, consistent with the global constraints.

arXiv comment19 pages, 17 figures; to appear in the Astrophysical Journal

References in corpus (106)

• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies
• The Demography of Massive Dark Objects in Galaxy Centres
• A Relationship Between Nuclear Black Hole Mass and Galaxy Velocity Dispersion
• The slope of the black-hole mass versus velocity dispersion correlation
• Central Masses and Broad-Line Region Sizes of Active Galactic Nuclei. II. A Homogeneous Analysis of a Large Reverberation-Mapping Database
• Local Supermassive Black Holes, Relics of Active Galactic Nuclei and the X-ray Background
• The M-sigma and M-L Relations in Galactic Bulges and Determinations of their Intrinsic Scatter
• A Catalog of Quasar Properties from SDSS DR7
• A luminous quasar at a redshift of z = 7.085
• Determining Central Black Hole Masses in Distant Active Galaxies and Quasars. II. Improved Optical and UV Scaling Relationships
• An Observational Determination of the Bolometric Quasar Luminosity Function
• An 800-million-solar-mass black hole in a significantly neutral Universe at redshift 7.5
• Observational constraints on growth of massive black holes
• An ultra-luminous quasar with a twelve-billion-solar-mass black hole at redshift 6.30
• Toward the Standard Population Synthesis Model of the X-Ray Background: Evolution of X-Ray Luminosity and Absorption Functions of Active Galactic Nuclei Including Compton-Thick Populations
• Biases in Virial Black Hole Masses: An SDSS Perspective
• Constraining Black Hole Spin Via X-ray Spectroscopy
• Self-Consistent Models of the AGN and Black Hole Populations: Duty Cycles, Accretion Rates, and the Mean Radiative Efficiency
• Measuring Black Hole Spin using X-ray Reflection Spectroscopy
• A Global Three Dimensional Radiation Magneto-hydrodynamic Simulation of Super-Eddington Accretion Disks
• The Discovery of the First "Changing Look" Quasar: New Insights into the Physics & Phenomenology of AGN
• The supermassive black hole of M87 and the kinematics of its associated gaseous disk
• The distribution and cosmic evolution of massive black hole spins
• Super-massive Black Hole Demography: the Match between the Local and Accreted Mass Functions
• Cosmological black hole spin evolution by mergers and accretion
• Black Hole Spin Evolution
• The Radiative Efficiency of Accretion Flows in Individual AGN
• Suzaku observations of 'bare' active galactic nuclei
• A rapidly spinning supermassive black hole at the centre of NGC 1365
• The Evolution of Black Hole Mass and Spin in Active Galactic Nuclei
• Aligning spinning black holes and accretion discs
• The Black Hole Mass, Stellar M/L, and Dark Halo in M87
• B-Mode contamination by synchrotron emission from 3-years WMAP data
• The SINFONI Black Hole Survey: The Black Hole Fundamental Plane revisited and the paths of (co-) evolution of supermassive black holes and bulges
• Fueling Low-Level AGN Activity Through the Stochastic Accretion of Cold Gas
• Slim Disk Model for Soft X-Ray Excess and Variability of Narrow-Line Seyfert 1 Galaxies
• Selection bias in dynamically-measured super-massive black hole samples: its consequences and the quest for the most fundamental relation
• Most Supermassive Black Holes must be Rapidly Rotating
• Super-Critical Growth of Massive Black Holes from Stellar-Mass Seeds
• Black-hole binaries, gravitational waves, and numerical relativity
• Supermassive Stars in Quasar Disks
• Broad iron L-line and X-ray reverberation in 1H0707-495
• X-ray variability of 104 active galactic nuclei. XMM-Newton power-spectrum density profiles
• Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. IV. H$\beta$ Time Lags and Implications for Super-Eddington Accretion
• A Reverberation-Based Mass for the Central Black Hole in NGC 4151
• The Spin of the Supermassive Black Hole in NGC 3783
• Accretion-Driven Evolution of Black Holes: Eddington Ratios, Duty Cycles, and Active Galaxy Fractions
• Linking the spin evolution of massive black holes to galaxy kinematics
• MCG-6-30-15: Long Timescale X-Ray Variability, Black Hole Mass and AGN High States
• Quasar Luminosity Functions from Joint Evolution of Black Holes and Host Galaxies
• Remnant Masses, Spins and Recoils from the Merger of Generic Black-Hole Binaries
• Black Hole Mass Estimates Based on CIV are Consistent with Those Based on the Balmer Lines
• Black hole evolution: III. Statistical properties of mass growth and spin evolution using large-scale hydrodynamical cosmological simulations
• Slim disks around Kerr black holes revisited
• Towards an Understanding of Changing-Look Quasars: An Archival Spectroscopic Search in SDSS
• Variable partial covering and a relativistic iron line in NGC 1365
• The evolution of active galactic nuclei and their spins
• Low redshift AGN in the Hamburg/ESO Survey: II. The active black hole mass function and the distribution function of Eddington ratios
• Microlensing of the broad line region in 17 lensed quasars
• Warp diffusion in accretion discs: a numerical investigation
• On the orientation and magnitude of the black hole spin in galactic nuclei
• Numerical Relativity and Astrophysics
• The evolution of misaligned accretion discs and spinning black holes
• A Suzaku survey of Fe K lines in Seyfert 1 AGN
• Long XMM observation of the Narrow-Line Seyfert 1 galaxy IRAS13224-3809: rapid variability, high spin and a soft lag
• Black Hole and Galaxy Coevolution from Continuity Equation and Abundance Matching
• A Local Baseline of the Black Hole Mass Scaling Relations for Active Galaxies. I. Methodology and Results of Pilot Study
• Narrow Iron K$\alpha$ Lines in Active Galactic Nuclei: Evolving Populations?
• Supermassive Black Holes in the Hierarchical Universe: A General Framework and Observational Tests
• Mass and spin coevolution during the alignment of a black hole in a warped accretion disc
• On the spin paradigm and the radio dichotomy of quasars
• An X-Ray View of the Jet-Cycle in the Radio Loud AGN 3C120
• Selection bias in the M_BH-sigma and M_BH-L correlations and its consequences
• Suzaku observations of Mrk 335: Confronting partial covering and relativistic reflection
• Constraints on QSO models from a relation between the QSO luminosity function and the local black hole mass function
• A selection effect boosting the contribution from rapidly spinning black holes to the Cosmic X-ray Background
• Alignment and Precession of a Black Hole with a Warped Accretion Disc
• First high energy observations of Narrow Line Seyfert 1s with INTEGRAL/IBIS
• Galactic nuclei evolution with spinning black holes: method and implementation
• Can we measure the accretion efficiency of Active Galactic Nuclei?
• Toward precise constraints on growth of massive black holes
• An intermediate black hole spin in the NLS1 galaxy SWIFT J2127.4+5654: chaotic accretion or spin energy extraction?
• Multi-epoch X-ray observations of the Seyfert 1.2 galaxy Mrk 79: bulk motion of the illuminating X-ray source
• The Black Hole Spin and Soft X-ray Excess of the Luminous Seyfert Galaxy Fairall 9
• Black hole evolution: II. Spinning black holes in a supernova-driven turbulent interstellar medium
• NLS1 galaxies and estimation of their central black hole masses from the X-ray excess variance method
• Constraints on the black hole spin in the quasar SDSS J094533.99+100950.1
• Spinning up black holes with super-critical accretion flows
• Reflection From the Strong Gravity Regime in a z=0.658 Gravitationally Lensed-Quasar
• Eddington ratio Distribution of X-ray selected broad-line AGNs at 1.0<z<2.2
• Accretion, Growth of Supermassive Black Holes, and Feedback in Galaxy Mergers
• Evolution of accretion disks around massive black holes: constraints from the demography of active galactic nuclei
• Black hole spin and size of the X-ray emitting region(s) in the Seyfert 1.5 galaxy ESO 362-G18
• Radiative Efficiency of Disk Accretion in Individual SDSS QSOs
• A Rapidly Spinning Black Hole Powers the Einstein Cross
• A possible ultra strong and broad Fe Ka emission line in Seyfert 2 galaxy IRAS 00521-7054
• The cosmic evolution of massive black holes and galaxy spheroids: global constraints at redshift z<~1.2
• Eddington ratio and accretion efficiency in AGN evolution
• Multi-epoch analysis of the X-ray spectrum of the active galactic nucleus in NGC 5506
• The X-ray spectrum of the cooling-flow quasar H1821+643 : A massive black hole feeding off the intracluster medium
• Does the X-ray emission of the luminous quasar RBS 1124 originate in a mildly relativistic outflowing corona?
• X-ray Reverberation Mapping and Dramatic Variability of Seyfert 1 Galaxy 1H 1934-063
• Alignments Of Black Holes With Their Warped Accretion Disks And Episodic Lifetimes Of Active Galactic Nuclei
• On the Mean Radiative Efficiency of Accreting Massive Black Holes in AGNs And QSOs
• Limits on the growth rate of supermassive black holes at early cosmic epochs

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• Subaru High-z Exploration of Low-Luminosity Quasars (SHELLQs) VIII. A less biased view of the early co-evolution of black holes and host galaxies
• Einstein-Æther Gravity in the light of Event Horizon Telescope Observations of M87*
• The large-scale ionization cones in the Galaxy
• Testing AGN outflow and accretion models with CIV and HeII emission line demographics in z=2 quasars
• Probing black hole accretion tracks, scaling relations and radiative efficiencies from stacked X-ray active galactic nuclei
• Searching for Ultra-light Bosons and Constraining Black Hole Spin Distributions with Stellar Tidal Disruption Events
• High-redshift SMBHs can grow from stellar-mass seeds via chaotic accretion
• The properties of wind and jet from a super-Eddington accretion flow around a supermassive black hole
• How the super-Eddington regime affects black hole spin evolution in high-redshift galaxies
• Stringent constraints on the light boson model with supermassive black hole spin measurements
• Effect of accreting tidally disrupted stars on the spin evolution of $\sim 10^6{M}_{\odot }$ black holes
• Effects of spin on constraining the seeds and growth of $\gtrsim 10^9{M}_{\odot }$ supermassive black holes in $z>6.5$ Quasars
• Cosmic spin and mass evolution of black holes and its impact
• Probing the Growth of Massive Black Holes with Black Hole-Host Galaxy Spin Correlations
• On the Power to Constrain the Accretion History of Massive Black Holes via Spin Measurements by Upcoming X-Ray Telescopes
• Constraining black hole spin in PG 1535+547 amidst complex multi-layered absorption
• Extracting the Possible Intrinsic Relation between Radiative Efficiency and Mass of QSOs: a Maximum Likelihood Method and its Application to the SDSS DR7 QSOs
• The mass-dependent interplay of active galacitc nuclei and supernova feedback in shaping the $L_{\mathrm{X}}$--$T$ relation of early-type galaxies
• Evidence for a moderate spin from X-ray reflection of the high-mass supermassive black hole in the cluster-hosted quasar H1821+643