REVIEW
Energy input from quasars regulates the growth and activity of black holes and their host galaxies
Astrophysics · Submitted 9 Feb 2005 · 31 references
Pith's verdict: The landmark AGN-feedback merger simulation: the qualitative quenching result and the M_BH–σ slope hold up, but the ~100 Myr quasar lifetime is a model output the abstract dresses up as a determination.
T0 · AI review
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Referee report
The paper
The paper claims
The energy released by gas falling onto a supermassive black hole during a galaxy collision is enough to blow the remaining gas out of the nucleus, shutting down both star formation and the black hole's own growth.
The reading
What carries the argument
The load-bearing device is a sub-grid prescription that couples a black hole 'sink' particle to the resolved gas around it: the accretion rate is estimated with a spherical Bondi-Hoyle formula from the local gas density and sound speed, and the feedback is a heating term $f L = f eta dot{M} c^2$ with $f=0.05$ and $eta=0.1$, so about $0.5$ per cent of the accreted rest mass energy is returned to the surrounding gas. That two-way loop is what does the work: accretion heats and pressurises the gas, the heated gas is expelled, the fuel supply is cut, and accretion stops. The mass at which the loop shuts off is therefore set by how much energy is needed to escape the bulge's gravitational well, which is how a relation between black hole mass and velocity dispersion emerges without being put in by hand.
Extended reading notes
Core claim
The claim is that black hole growth is self-regulating, and that self-regulation quantitatively reproduces the local black hole mass–velocity dispersion relation while also fixing how long a quasar shines. In the simulations, a major merger first produces the familiar starburst, and the same tidal inflows raise the central gas density so that the two black holes, which merge into one, accrete close to the Eddington rate. A fraction $f=0.05$ of the radiated luminosity, with radiative efficiency $f=0.05$ of the rest mass energy converted and $0.5$ per cent of the accreted rest mass returned to the gas as heat, raises the temperature of the circumnuclear gas and drives a wind that expels it. Star formation and accretion are then both quenched, the black hole mass saturates, and the remnant quickly reddens into a dead elliptical; the same merger run without a black hole keeps a dense cold gas supply and forms stars at a steady rate for far longer. Across six galaxy masses and three disk gas fractions, the final black hole masses and bulge velocity dispersions land close to the observed relation, including its normalisation and slope, and the luminous phase lasts approaching $10^8$ years. Because more massive systems have deeper wells and larger gas supplies, their black holes must grow further before the released energy suffices to expel the gas, while lower-mass black holes stay active longer, which the authors read as an explanation for why low-luminosity quasars are more numerous than bright ones.
Load-bearing premise
The load-bearing premise is that a spherical Bondi-Hoyle estimate applied to the resolved, large-scale gas around the black hole gives the true accretion rate on the much smaller scales the simulation cannot resolve; if that estimate is systematically wrong, the growth history that drives the feedback, and hence the final masses, shift with it.
Editorial extensions
If this is right
- A gas-rich major merger should produce a bright quasar phase lasting up to roughly a hundred million years, after which the nucleus goes quiet on its own.
- Merger remnants hosting a grown black hole should be gas-poor, have little residual star formation, and redden quickly, while otherwise identical remnants without one keep forming stars.
- The black hole mass at shut-off should scale with the depth of the bulge potential, so the black hole mass–velocity dispersion relation is a consequence of energy balance rather than an imposed rule.
- Lower-mass black holes should stay active longer than massive ones, making low-luminosity quasars more common than bright ones, as surveys indicate.
- The final black hole mass should scale roughly inversely with the assumed feedback efficiency, and a coupling of about five per cent matches the value semi-analytic models need to reproduce the evolution of quasar number density.
Reading between the lines
- Because the final mass scales as roughly $1/f$, an independent measurement of how efficiently quasar outflows couple to gas, combined with the normalisation of the observed relation, would convert a tuned parameter into a measured number.
- The predicted anti-correlation between quasar lifetime and luminosity implies a particular shape and turnover for the AGN luminosity function; comparing these lifetimes with lifetimes inferred from quasar clustering would test the picture without new hydrodynamics.
- The same prescription could be carried into cosmological volumes, where it makes a sharper prediction than the idealised mergers shown here: the strongest suppression of star formation should occur in the highest gas-fraction, highest-redshift mergers, leaving post-starburst ellipticals whose colours track their black hole masses.
- Since the inflow's angular momentum is discarded by construction, the model is silent on whether the accreted gas settles into a disk or launches jets; a radiatively inefficient, jet-dominated phase would change the energy budget and could shift the predicted normalisation of the relation.
Original abstract
In the early Universe, while galaxies were still forming, black holes as massive as a billion solar masses powered quasars. Supermassive black holes are found at the centers of most galaxies today, where their masses are related to the velocity dispersions of stars in their host galaxies and hence to the mass of the central bulge of the galaxy. This suggests a link between the growth of the black holes and the host galaxies, which has indeed been assumed for a number of years. But the origin of the observed relation between black hole mass and stellar velocity dispersion, and its connection with the evolution of galaxies have remained unclear. Here we report simulations that simultaneously follow star formation and the growth of black holes during galaxy-galaxy collisions. We find that in addition to generating a burst of star formation, a merger leads to strong inflows that feed gas to the supermassive black hole and thereby power the quasar. The energy released by the quasar expels enough gas to quench both star formation and further black hole growth. This determines the lifetime of the quasar phase (approaching 100 million years) and explains the relationship between the black hole mass and the stellar velocity dispersion.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
In the early Universe, while galaxies were still forming, black holes as massive as a billion solar masses powered quasars. Supermassive black holes are found at the centers of most galaxies today, where their masses are related to the velocity dispersions of stars in their host galaxies and hence to the mass of the central bulge of the galaxy. This suggests a link between the growth of the black holes and the host galaxies, which has indeed been assumed for a number of years. But the origin of the observed relation between black hole mass and stellar velocity dispersion, and its connection with the evolution of galaxies have remained unclear. Here we report simulations that simultaneously follow star formation and the growth of black holes during galaxy-galaxy collisions. We find that in addition to generating a burst of star formation, a merger leads to strong inflows that feed gas to the supermassive black hole and thereby power the quasar. The energy released by the quasar expels enough gas to quench both star formation and further black hole growth. This determines the lifetime of the quasar phase (approaching 100 million years) and explains the relationship between the black hole mass and the stellar velocity dispersion.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the early Universe, while galaxies were still forming, black holes as massive as a billion solar masses powered quasars. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | Supermassive black holes are found at the centers of most galaxies today, where their masses are related to the velocity dispersions of stars in their host galaxies and hence to the mass of the central bulge of the galaxy. | background 1.00 | 0.06 | 0.03 | asserted 1.00 |
| s2 | This suggests a link between the growth of the black holes and the host galaxies, which has indeed been assumed for a number of years. | background 0.99 | 0.04 | 0.03 | hedged possibility 0.65 |
| s3 | But the origin of the observed relation between black hole mass and stellar velocity dispersion, and its connection with the evolution of galaxies have remained unclear. | gap 1.00 | 0.03 | 0.02 | asserted 0.83 |
| s4 | Here we report simulations that simultaneously follow star formation and the growth of black holes during galaxy-galaxy collisions. | method 0.60 | 0.95 | 0.04 | asserted 0.94 |
| s5 | We find that in addition to generating a burst of star formation, a merger leads to strong inflows that feed gas to the supermassive black hole and thereby power the quasar. | result 1.00 | 0.96 | 0.14 | asserted 1.00 |
| s6 | The energy released by the quasar expels enough gas to quench both star formation and further black hole growth. | result 0.98 | 0.89 | 0.57 | asserted 1.00 |
| s7 | This determines the lifetime of the quasar phase (approaching 100 million years) and explains the relationship between the black hole mass and the stellar velocity dispersion. | interpretation 0.81 | 0.85 | 0.76 | asserted 1.00 |
What was examined, and what was not
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Figures
Figures reproduced from arXiv:astro-ph/0502199 by the authors.
References
How later papers used it
753 later papers cite it
6 later papers by other authors are listed below: 6 used its method or tool. 19 more papers by the same authors are listed: 19 used its method or tool.
Uses its method or tool 25 of 65 papers with this label · 19 by the same authors
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Modelled the unresolved physics of accretion in a subgrid fashion following another work and this paper.
How AGN feedback drives the size growth of the first quasars (2019) · 1.00 · paraphrased: the licence does not allow quoting
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Our simulations also include a prescription for black hole (BH) growth and feedback from active galactic nuclei (AGN) based on the model presented by [ref] and [ref] , including the same modifications as [ref] and some minor changes.
On the Decline of Star Formation during the Evolution of Galaxies (2023) · Implementation of Physical Processes · 0.99
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Estimated the accretion of gas onto the black hole using a Bondi-Hoyle-Lyttleton-like prescription from this paper.
The black hole occupation fraction as a fossil record of seeding, dynamics, and galaxy assembly (2026) · 0.99 · paraphrased: the licence does not allow quoting
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Based the growth and dynamics of black holes and associated active galactic nucleus feedback on the model of another work and this paper, with modifications described in the other work.
Tracing the environmental history of observed galaxies via extended fast action minimization method (2022) · 0.94 · paraphrased: the licence does not allow quoting
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Re-scaled its modified Bondi-Hoyle-Lyttleton accretion rate by a factor of 50 to account for higher central densities around accreting black holes, citing this paper.
The infrared-luminous progenitors of high-z quasars (2018) · 0.86 · paraphrased: the licence does not allow quoting
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Estimated the accretion of gas onto the black hole using a Bondi-Hoyle-Lyttleton-like prescription from this paper.
Tracing black hole and galaxy growth across environments since cosmic noon (2026) · 0.98 · paraphrased: the licence does not allow quoting
By the same authors
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Implemented a sub-grid recipe for black holes and related physical processes based on another work and this paper, calculating black hole accretion with a spherical Bondi model.
The Formation of the First Quasars. I. The Black Hole Seeds, Accretion and Feedback Models (2020) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Estimated the gas accretion rate onto the black hole via a Bondi-Hoyle-Lyttleton-like prescription from this paper.
Orbital and Radiative Properties of Wandering Intermediate-Mass Black Holes in the ASTRID Simulation (2022) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Incorporated black hole growth and feedback from active galactic nuclei based on the super-massive black hole model developed in this paper.
A tiny host galaxy for the first giant black hole: $z= 7.5$ quasar in BlueTides (2018) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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A Bondi-Hoyle-Lyttleton-like prescription [ref] is used to estimate the gas accretion rate onto the BH: [equation] where $c_s$ and $ρ$ are the local sound speed and density of gas, $v_rel$ is the relative velocity of the BH with respect to the nearby gas and $α= 100$ is a dimensionless fudge parameter to account for the underestimation of the accretion rate due to the unresolved cold and hot phase of the subgrid interstellar medium in the surrounding.
Triple and Quadruple Black Holes in the ASTRID Simulation at $z \sim 2$ (2023) (same authors) · Simulation · 1.00
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Gas accretion onto BHs is modeled with a Bondi-Hoyle-Lyttleton-like prescription [ref] : [equation] where $c_s$ and $ρ$ are the local sound speed and density of the gas, $v_rel$ is the relative velocity of the BH with respect to the nearby gas, and $α= 100$ is a dimensionless fudge parameter to account for the underestimation of the accretion rate due to the unresolved cold and hot phase of the subgrid interstellar medium in the surrounding.
MAGICS I. The First Few Orbits Encode the Fate of Seed Massive Black Hole Pairs (2023) (same authors) · The subgrid physics model for galaxy formation · 1.00
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Modeled active galactic nucleus feedback as in the MassiveBlack I and II simulations, giving self-regulated super-massive black hole accretion following this paper.
Gas outflows from the z= 7.54 quasar : predictions from the BlueTides Simulation (2018) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Modeled black hole growth and active galactic nucleus feedback as in the MassiveBlack I and II simulations, based on the black hole sub-grid model developed in another work and this paper.
MAGICS II. Seed black holes stripped of their surrounding stars do not sink (2024) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Black hole growth and AGN feedback are modeled in the same way as in the MassiveBlack I & II simulations, based on the black hole sub-grid model developed in [ref] and [ref] .
Modeling Quasar Proximity Zones in a Realistic Cosmological Environment with a Self-consistent Light Curve (2023) (same authors) · Physics: hydrodynamics and sub-grid modelling · 1.00
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Used a Bondi-Hoyle-Lyttleton-like prescription from this paper to estimate the accretion rate of gas onto the black holes.
Over-massive Central Black Holes in the Cosmological Simulations ASTRID and Illustris TNG50 (2023) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Used the prescription described in this paper and another work to model the growth of supermassive black holes.
Multiplicity functions of quasars: Predictions from the MassiveBlackII simulation (2019) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Adopted its prescription for black hole growth from this paper and another work.
On the small scale clustering of quasars: constraints from the MassiveBlack II simulation (2018) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Modeled active galactic nucleus feedback as in the MassiveBlack I and II simulations, using the super-massive black hole model developed in this paper.
The BlueTides Simulation: First Galaxies and Reionization (2015) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
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Estimated the accretion rate onto the black hole using a Bondi-Hoyle-Lyttleton-like prescription from this paper.
The Astrid Simulation: Evolution of black holes and galaxies to z=0.5 and different evolution pathways for galaxy quenching (2024) (same authors) · 0.99 · paraphrased: the licence does not allow quoting
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Estimated the gas accretion rate onto the black hole via a Bondi-Hoyle-Lyttleton-like prescription from this paper.
A vast population of wandering and merging IMBHs at cosmic noon (2022) (same authors) · 0.99 · paraphrased: the licence does not allow quoting
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Estimated the gas accretion rate onto the black hole via a Bondi-Hoyle-Lyttleton-like prescription from this paper.
MAGICS III. Seeds sink swiftly: nuclear star clusters dramatically accelerate seed black hole mergers (2024) (same authors) · 0.99 · paraphrased: the licence does not allow quoting
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Modeled black hole growth and active galactic nucleus feedback as in the MassiveBlack I and II simulations, using the supermassive black hole model developed in this paper with modifications consistent with Illustris.
BlueTides simulation: establishing black hole-galaxy relations at high-redshift (2018) (same authors) · 0.94 · paraphrased: the licence does not allow quoting
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Modeled black hole accretion and feedback according to this paper, based on quasar-mode feedback.
Intrinsic alignments of disk and elliptical galaxies in the MassiveBlack-II and Illustris simulations (2015) (same authors) · 0.97 · paraphrased: the licence does not allow quoting
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Implemented active galactic nucleus feedback using the same model used in MassiveBlack I and II, this paper.
Forecasts for the WFIRST High Latitude Survey using the BlueTides Simulation (2016) (same authors) · 0.97 · paraphrased: the licence does not allow quoting
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Used the same black hole sub-grid model for black hole growth and active galactic nucleus feedback as the MassiveBlack I and II simulations, originally developed in another work and this paper, with modifications consistent with Illustris.
The host galaxies of z=7 quasars: predictions from the BlueTides simulation (2019) (same authors) · 0.98 · paraphrased: the licence does not allow quoting
How the literature uses it
107 arXiv papers cite this in 135 sentences
Papers citing it · 82 sentences without a confident label
Uses its method or tool 12 papers
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To gain some information regarding the SMBH activity of the galaxies in our samples, we turn to a proxy which is the time-averaged supermassive black hole growth factor, $⟨Ṁ_SMBH ⟩$, [ref] .
The influence of galaxy mergers, black-hole growth, and gas processes on the evolution of the stellar mass-gas metallicity relation of galaxies in different cosmic environments · Supermassive Black Hole Growth Factor · 0.88
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The BH accretion rate $Ṁ_BH$ is estimated using the Bondi-Hoyle formalism [ref] , which is based on the local properties of nearby gas particles: [equation] where $c_s$ is the local sound speed, $ρ_BH$ is the gas density around the BH, and $v_vel$ is the velocity of the black hole relative to the surrounding gas.
First results of AMBRA: Abundant Seeds and Early Mergers as a Pathway to the First Massive Black Holes · galaxy formation model · 1.00
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Following [ref] , we implement a module of “continuous” BH accretion in GIZMO: instead of “discretely” swallowing an entire neighboring gas cell in a single timestep [ref] (which is not appropriate here since $M_BH ≲m_gas$), each BH (labeled $i$) receives a mass inflow of $Ṁ_BondiΔt$ in a time bin $Δt$.
The In Situ Growth of Stellar-mass "Light" Seed Black Holes in Nuclear Star Clusters · Remnant BH accretion and feedback · 0.98
Uses its data or values 1 paper
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In the seminal work of Di Matteo et al. [ref] , the feedback efficiency ($ϵ_f$; the fraction of AGN luminosity that couples to the gas in the vicinity of the black hole) was calibrated to 5%, so the local M$_BH$-$σ$ relation was reproduced by the simulation.
Observational Tests of Active Galactic Nuclei Feedback: An Overview of Approaches and Interpretation · Outflow energetics and potential for impact · 0.80
Compares with it 1 paper
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For $M_∙∼10^6 M_⊙$, this is $30%$ of the Eddington luminosity, significantly larger than the $Ė_K/L_bol∼0.5$–$5%$ measured for ultrafast outflows in high-$L_Edd$ AGN, the regime generally regarded as sufficient for efficient coupling to the host [ref] .
Relativistic outflows power a quasi-periodic eruption: constraints on energetics, mass loss, and emission mechanisms · Implications for reverberation and feedback · 0.98
Cites it as support 4 papers
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Overall, our results align with a scenario in which the SMBH regulates its immediate surroundings and the host galaxy, with AGN radiation regulating the amount of circumnuclear material and driving powerful outflows into the ISM [ref] .
AGN radiative feedback as the main regulator of [O III] outflow activity and obscuration in X-ray AGN · Outflow incidence in the $N_H - λ_Edd$ plane · 0.99
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Such a causal connection has been amply documented in numerical studies (e.g. [ref] ) and further indirectly bolstered by an extensive observational literature showing a clear increase in the AGN fraction in close pairs of galaxies (e.g. [ref] ).
Black hole-galaxy co-evolution and the role of feedback · Interacting galaxies · 1.00
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More so, the wind energy deposit can be efficient (e.g., [ref] ).
Impacts of Jets and Winds From Primordial Black Holes · Winds · 0.98
Cites it as background 34 papers
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A variety of quenching mechanisms have been proposed, including radiative and mechanical feedback from accreting matter, and merger-driven star formation and associated gas depletion [ref] .
Halo-driven Origin and Evolution of Overmassive Black Holes and Little Red Dots · Transition to Halo-thermodynamics driven suppression · 0.89
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It suppresses star formation by expelling cold gas through powerful outflows (ejective feedback; [ref] ) and by heating the surrounding medium and preventing further accretion (preventive feedback; [ref] ).
Unveiling the population of massive quenched galaxies at $z\ge2$ in the COLIBRE simulations - II. The role of AGN feedback and environment on their emergence · Introduction · 0.82
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Feedback from active galactic nuclei (AGN) may further contribute by heating or expelling gas, though its role relative to gravitational and stellar processes is still under investigation [ref] .
Interplay of Compaction, Quenching, and Black Hole Growth in the Most Massive Galaxies since $z\sim5$: Insights from JWST and Chandra Data · Introduction · 0.95
Discussion
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