The observed cosmic star formation rate density has an evolution which resembles a Γ(a, bt) distribution and can be described successfully by only 2 parameters

Abstract

A debate is emerging regarding the recent inconsistent results of different studies for the Cosmic Star Formation Rate Density (CSFRD) at high-z. We employ UV and IR datasets to investigate the star formation rate function (SFRF) at $\mathrm{z}\sim 0-9$. We find that the SFRFs derived from the dust corrected $\mathrm{UV}$ ($\mathrm{U}{\mathrm{V}}_{\mathrm{corr}}$) data contradict those from IR on some key issues since they are described by different distributions (Schechter vs double-power law), imply different physics for galaxy formation ($\mathrm{U}{\mathrm{V}}_{\mathrm{corr}}$ data suggest a SFR limit/strong mechanism that diminish the number density of high star forming systems with respect IR) and compare differently with the stellar mass density evolution obtained from SED fitting ($\mathrm{U}{\mathrm{V}}_{\mathrm{corr}}$ is in agreement, while IR in tension up to 0.5 dex). However, both tracers agree on a constant CSFRD evolution at $\mathrm{z}\sim 1-4$ and point to a plateau instead of a peak. In addition, using both indicators we demonstrate that the evolution of the {\it observed} CSFRD can be described by only {\bf 2} parameters and a function that has the form of a Gamma distribution ($\mathbf{\Gamma }(\mathbf{a},\mathbf{bt})$). In contrast to previous parameterizations used in the literature our framework connects the parameters to physical properties like the star formation rate depletion time and cosmic baryonic gas density. The build up of stellar mass occurs in $\Gamma (a,bt)$ distributed steps and is the result of gas consumption up to the limit that there is no eligible gas for SF at t = $\infty$, resulting to a final cosmic stellar mass density of $\sim 0.5\times 10^9\frac{{\mathrm{M}}_{\odot }}{\mathrm{Mp}{\mathrm{c}}^3}$.

arXiv comment21 pages, 3 Figures, Accepted to ApJ

References in corpus (153)

• Galactic Stellar and Substellar Initial Mass Function
• Star Formation in Galaxies Along the Hubble Sequence
• Cosmic Star Formation History
• The EAGLE project: Simulating the evolution and assembly of galaxies and their environments
• Star Formation in the Milky Way and Nearby Galaxies
• Cosmological SPH simulations: A hybrid multi-phase model for star formation
• The Average Star Formation Histories of Galaxies in Dark Matter Halos from z=0-8
• Simulating Galaxy Formation with the IllustrisTNG Model
• First results from the IllustrisTNG simulations: the galaxy color bimodality
• The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations
• UV Luminosity Functions at redshifts z~4 to z~10: 10000 Galaxies from HST Legacy Fields
• Dust Absorption And The Ultraviolet Luminosity Density At z \approx 3 As Calibrated By Local Starburst Galaxies
• Simba: Cosmological Simulations with Black Hole Growth and Feedback
• The Hyper Suprime-Cam SSP Survey: Overview and Survey Design
• Mass assembly in quiescent and star-forming galaxies since z=4 from UltraVISTA
• The Evolution of the Stellar Mass Functions of Star-Forming and Quiescent Galaxies to z = 4 from the COSMOS/UltraVISTA Survey
• The 2dF Galaxy Redshift Survey: Near Infrared Galaxy Luminosity Functions
• Constraining the Low-Mass Slope of the Star Formation Sequence at 0.5<z<2.5
• New Interstellar Dust Models Consistent with Extinction, Emission, and Abundance Constraints
• On the relation between the Schmidt and Kennicutt-Schmidt star formation laws and its implications for numerical simulations
• Dust-Corrected Star Formation Rates of Galaxies. II. Combinations of Ultraviolet and Infrared Tracers
• The Impact of cold gas accretion above a mass floor on galaxy scaling relations
• How to Measure Galaxy Star Formation Histories II: Nonparametric Models
• Deriving Physical Properties from Broadband Photometry with Prospector: Description of the Model and a Demonstration of its Accuracy Using 129 Galaxies in the Local Universe
• UV-continuum slopes at z~4-7 from the HUDF09+ERS+CANDELS observations: Discovery of a well-defined UV-color magnitude relationship for z>=4 star-forming galaxies
• The applicability of FIR fine-structure lines as Star Formation Rate tracers over wide ranges of metallicities and galaxy types
• The Herschel PEP/HerMES Luminosity Function. I: Probing the Evolution of PACS selected Galaxies to z~4
• The deepest Herschel-PACS far-infrared survey: number counts and infrared luminosity functions from combined PEP/GOODS-H observations
• A Constant Molecular Gas Depletion Time in Nearby Disk Galaxies
• A deep ALMA image of the Hubble Ultra Deep Field
• The Dearth of z~10 Galaxies in all HST Legacy Fields -- The Rapid Evolution of the Galaxy Population in the First 500 Myr
• Directly Observing the Galaxies Likely Responsible for Reionization
• A large Hα survey at z=2.23, 1.47, 0.84 & 0.40: the 11 Gyr evolution of star-forming galaxies from HiZELS
• Radio sources in the 6dFGS: Local luminosity functions at 1.4 GHz for star-forming galaxies and radio-loud AGN
• Evolution of the Galaxy - Dark Matter Connection and the Assembly of Galaxies in Dark Matter Halos
• Radiation Backgrounds at Cosmic Dawn: X-Rays from Compact Binaries
• The Characteristic Star Formation Histories of Galaxies at Redshifts z~2-7
• The galaxy stellar mass function at 3.5<z<7.5 in the CANDELS/UDS, GOODS-South, and HUDF fields
• The SFR-M* Relation and Empirical Star-Formation Histories from ZFOURGE at 0.5 < z < 4
• The Star Formation Rate in the Reionization Era as Indicated by Gamma-ray Bursts
• A redshift-independent efficiency model: star formation and stellar masses in dark matter halos at z>4
• Shark: introducing an open source, free and flexible semi-analytic model of galaxy formation
• An Older, More Quiescent Universe from Panchromatic SED Fitting of the 3D-HST Survey
• Star Formation and the Growth of Stellar Mass
• The GALEX-VVDS Measurement of the Evolution of the 1500A Luminosity Function
• GAMA/G10-COSMOS/3D-HST: The 0<z<5 cosmic star-formation history, stellar- and dust-mass densities
• Great Optically Luminous Dropout Research Using Subaru HSC (GOLDRUSH). I. UV Luminosity Functions at $z\sim 4-7$ Derived with the Half-Million Dropouts on the 100 deg${}^2$ Sky
• The Star Formation Main Sequence in the Hubble Space Telescope Frontier Fields
• The VANDELS survey: the star-formation histories of massive quiescent galaxies at 1.0 < z < 1.3
• High-redshift star formation in the ALMA era
• The ALPINE-ALMA [CII] Survey: The nature, luminosity function and star formation history of dusty galaxies up to z~6
• Specific SFR profiles in nearby spiral galaxies: quantifying the inside-out formation of disks
• Optical colours and spectral indices of $z=0.1$ EAGLE galaxies with 3D dust radiative transfer code SKIRT
• The evolution of the near-IR galaxy Luminosity Function and colour bimodality up to z ~ 2 from the UKIDSS Ultra Deep Survey Early Data Release
• The WIRCam Deep Survey I: Counts, colours and mass-functions derived from near-infrared imaging in the CFHTLS deep fields
• The Evolution of the IR Luminosity Function and Dust-obscured Star Formation in the Last 13 Billion Years
• Shaping the galaxy stellar mass function with supernova- and AGN-driven winds
• How Well Can We Measure the Stellar Mass of a Galaxy: The Impact of the Assumed Star Formation History Model in SED Fitting
• COLDz: Shape of the CO Luminosity Function at High Redshift and the Cold Gas History of the Universe
• An analytic solution for the minimal bathtub toy model: challenges in the star-formation history of high-z galaxies
• Main sequence of star forming galaxies beyond the Herschel confusion limit
• Evolution of the galaxy stellar mass functions and UV luminosity functions at $z=6-9$ in the Hubble Frontier Fields
• GAMA/H-ATLAS: A meta-analysis of SFR indicators - comprehensive measures of the SFR-M* relation and Cosmic Star Formation History at z < 0.4
• The Evolution of the Baryons Associated with Galaxies Averaged over Cosmic Time and Space
• From haloes to Galaxies - I. The dynamics of the gas regulator model and the implied cosmic sSFR history
• First Light And Reionisation Epoch Simulations (FLARES) I: Environmental Dependence of High-Redshift Galaxy Evolution
• The Star Formation Rate Function for Redshift z~4-7 Galaxies: Evidence for a Uniform Build-Up of Star-Forming Galaxies During the First 3 Gyr of Cosmic Time
• The total infrared luminosity may significantly overestimate the star formation rate of recently quenched galaxies
• A New Census of the 0.2 < z < 3.0 Universe, Part I: The Stellar Mass Function
• Galaxy And Mass Assembly (GAMA): The galaxy stellar mass function to $z=0.1$ from the r-band selected equatorial regions
• A Multiwavelength Consensus on the Main Sequence of Star-Forming Galaxies at z~2
• The star-formation rate density from z = 0-6
• On the SFR-M${}_{\ast }$ main sequence archetypal star-formation history and analytical models
• The Evolution of the UV Luminosity Function from z ~ 0.75 to z ~ 2.5 using HST ERS WFC3/UVIS Observations
• HerMES: dust attenuation and star formation activity in UV-selected samples from z~4 to z~1.5
• Stochastic modelling of star-formation histories II: star-formation variability from molecular clouds and gas inflow
• A theoretical framework for combining techniques that probe the link between galaxies and dark matter
• A physical model for the 0 < z < 8 redshift evolution of the galaxy UV luminosity and stellar mass functions
• The IMACS Cluster Building Survey: IV. The Log-normal Star Formation History of Galaxies
• Deep Extragalactic VIsible Legacy Survey (DEVILS): SED Fitting in the D10-COSMOS Field and the Evolution of the Stellar Mass Function and SFR-$M_{\star }$ relation
• Old and young stellar populations in DustPedia galaxies and their role in dust heating
• The galaxy UV luminosity function at z ~ 2 - 4; new results on faint-end slope and the evolution of luminosity density
• The ALMA Spectroscopic Survey in the HUDF: Multi-band constraints on line luminosity functions and the cosmic density of molecular gas
• Stochastic modeling of star-formation histories I: the scatter of the star-forming main sequence
• SDSS-IV MaNGA: Effects of Morphology in the global and local Star Formation Main Sequences
• The ALPINE-ALMA [CII] Survey: Obscured Star Formation Rate Density and Main Sequence of star-forming galaxies at z>4
• An Extended Halo-based Group/Cluster finder: application to the DESI legacy imaging surveys DR8
• Mid and Far Infrared Properties of a Complete Sample of Local AGNs
• The AGN Contribution to the Mid-IR Emission of Luminous Infrared Galaxies
• How dead are dead galaxies? Mid-Infrared fluxes of quiescent galaxies at redshift 0.3 < z < 2.5: implications for star formation rates and dust heating
• Predictions for the spatial distribution of the dust continuum emission in 1<z<5 star-forming galaxies
• The evolving far-IR galaxy luminosity function and dust-obscured star-formation rate density out to z~5
• Reconciling the observed star-forming sequence with the observed stellar mass function
• The Herschel Exploitation of Local Galaxy Andromeda (HELGA) VII: A SKIRT radiative transfer model and insights on dust heating
• The cosmic evolution of the spatially-resolved star formation rate and stellar mass of the CALIFA survey
• Evolution of Intrinsic Scatter in the SFR-Stellar Mass Correlation at 0.5<z<3
• Data release of UV to submm broadband fluxes for simulated galaxies from the EAGLE project
• The evolution of the star formation rate function in the EAGLE simulations: A comparison with UV, IR and H$\alpha$ observations from z ~ 8 to z ~ 0
• Return to [Log-]Normalcy: Rethinking Quenching, The Star Formation Main Sequence, and Perhaps Much More
• Estimating gas masses and dust-to-gas ratios from optical spectroscopy
• Fade to grey: systematic variation of the galaxy attenuation curves with galaxy properties in EAGLE
• Reproducing sub-millimetre galaxy number counts with cosmological hydrodynamic simulations
• Simultaneous Modeling of the Stellar and Dust Emission in Distant Galaxies: Implications for Star Formation Rate Measurements
• Molecular and atomic gas in dust lane early-type galaxies - I: Low star-formation efficiencies in minor merger remnants
• Investigating H$\alpha$, UV, and IR star-formation rate diagnostics for a large sample of z ~ 2 galaxies
• Powderday: Dust Radiative Transfer for Galaxy Simulations
• The surface abundances of Red Supergiants at core-collapse
• A Characteristic Mass Scale in the Mass-Metallicity Relation of Galaxies
• IRS Spectroscopy and Multi-wavelength Study of Luminous Star-forming Galaxies at z~1.9
• The history of star formation from the cosmic infrared background anisotropies
• Constraining the Star Formation Histories in Dark Matter Halos: I. Central Galaxies
• Slicing the cool circumgalactic medium along the major-axis of a star-forming galaxy at $z=0.7$
• Galactic Winds in Cosmological Simulations of the Circumgalactic Medium
• Deriving star formation histories from photometry using energy balance spectral energy distribution modelling
• Comparing six evolutionary population synthesis models through spectral synthesis on galaxies
• The HerMES sub-millimetre local and low-redshift luminosity functions
• The Star-Formation Main Sequence: The Dependence of Specific Star Formation Rate and Its Dispersion on Galaxy Stellar Mass
• Recalibrating the Cosmic Star Formation History
• The high redshift SFR-M* relation is sensitive to the employed star formation rate and stellar mass indicators: Towards addressing the tension between observations and simulations
• The specific star formation rate function at different mass scales and quenching: A comparison between cosmological models and SDSS
• Reproducing the Universe: a comparison between the EAGLE simulations and the nearby DustPedia galaxy sample
• Simulating and interpreting deep observations in the Hubble Ultra Deep Field with the JWST/NIRSpec low-resolution 'prism'
• An alternate approach to measure specific star formation rates at 2<z<7
• A multi-wavelength de-blended Herschel view of the statistical properties of dusty star-forming galaxies across cosmic time
• An evolving and mass dependent ${\sigma }_{\text{sSFR}}$-${\mathrm{M}}_{\star }$ relation for galaxies
• Infrared Contributions of X-Ray Selected Active Galactic Nuclei in Dusty Star-Forming Galaxies
• Telltale signs of metal recycling in the circumgalactic medium of a $z\sim 0.77$ galaxy
• The evolution of the star formation rate function and cosmic star formation rate density of galaxies at $z\sim 1-4$
• Comparison of star formation rates from Halpha and infrared luminosities as seen by Herschel
• Simulated star formation rate functions at z~4-7, and the role of feedback in high-z galaxies
• Infrared Luminosity Functions of AKARI-SDSS Galaxies
• IQ Collaboratory II: The Quiescent Fraction of Isolated, Low Mass Galaxies Across Simulations and Observations
• The evolution of the UV-to-mm extragalactic background light: evidence for a top-heavy initial mass function?
• Evolution of the far-infrared luminosity functions in the Spitzer Wide-area Infrared Extragalactic Legacy Survey
• Unresolved versus resolved: testing the validity of young simple stellar population models with VLT/MUSE observations of NGC 3603
• Polycyclic aromatic hydrocarbon feature deficit of starburst galaxies in the AKARI North Ecliptic Pole Deep Field
• Stellar and Dust Properties of a Complete Sample of Massive Dusty Galaxies at $1\le z\le 4$ from MAGPHYS Modeling of UltraVISTA DR3 and Herschel Photometry
• The relation between star formation rate and stellar mass of galaxies at z $\sim$ 1-4
• The Role of Star-Formation and AGN in Dust Heating of z=0.3-2.8 Galaxies - II. Informing IR AGN fraction estimates through simulations
• Stellar Mass Function of Active and Quiescent Galaxies via the Continuity Equation
• On the inconsistency between cosmic stellar mass density and star formation rate up to $z\sim 8$
• Infrared luminosity functions and dust mass functions in the EAGLE simulation
• Galaxy formation in the Planck cosmology II. Star formation histories and post-processing magnitude reconstruction
• The stellar mass function and star formation rate-stellar mass relation of galaxies at z ~ 4 - 7
• A kpc-scale resolved study of unobscured and obscured star-formation activity in normal galaxies at z = 1.5 and 2.2 from ALMA and HiZELS
• The intrinsic SFRF and sSFRF of galaxies: comparing SDSS observation with IllustrisTNG simulation
• The Imperial IRAS-FSC Redshift Catalogue: luminosity functions, evolution and galaxy bias
• AGN and star formation across cosmic time
• A Universal Relation of Dust Obscuration Across Cosmic Time
• The Infrared Luminosity Function of AKARI 90$\mu$m Galaxies in the Local Universe
• Applications of Stellar Population Synthesis in the Distant Universe
• The breakBRD Breakdown: Using IllustrisTNG to Track the Quenching of an Observationally-Motivated Sample of Centrally Star-Forming Galaxies
• Exploration about the origin of galactic and extragalactic star clusters through simulated H-R diagrams

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