2013
DOI: 10.1088/0004-637x/765/2/138
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The Star Formation Laws of Eddington-Limited Star-Forming Disks

Abstract: Two important avenues into understanding the formation and evolution of galaxies are the Kennicutt-Schmidt (K-S) and Elmegreen-Silk (E-S) laws. These relations connect the surface densities of gas and star formation (Σ gas anḋ Σ * , respectively) in a galaxy. To elucidate the K-S and E-S laws for disks where Σ gas 10 4 M pc −2 , we compute 132 Eddington-limited star-forming disk models with radii spanning tens to hundreds of parsecs. The theoretically expected slopes (≈1 for the K-S law and ≈0.5 for the E-S re… Show more

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Cited by 7 publications
(5 citation statements)
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“…Such high densities make the gaseous interstellar medium (ISM) highly optically thick even in the re-radiated IR, and the radiation pressure on dust grains makes the system become Eddington-limited (e.g. Ballantyne et al 2013;Thompson & Krumholz 2016, and references therein). Interestingly, the K-S slope for the radiation-pressure-supported, Eddington-limited disk is expected to be unity (the stellar radiative flux F ⋆ ∝ Σ SFR , and the Eddington flux F Edd ∝ Σ gas ; Thompson et al 2005;Ostriker & Shetty 2011), which is broadly consistent with our results, particularly for starburst SMGs for which the K-S slope is consistent with unity within ∼ 0.4σ.…”
Section: Data Analysis Results and Discussionmentioning
confidence: 99%
“…Such high densities make the gaseous interstellar medium (ISM) highly optically thick even in the re-radiated IR, and the radiation pressure on dust grains makes the system become Eddington-limited (e.g. Ballantyne et al 2013;Thompson & Krumholz 2016, and references therein). Interestingly, the K-S slope for the radiation-pressure-supported, Eddington-limited disk is expected to be unity (the stellar radiative flux F ⋆ ∝ Σ SFR , and the Eddington flux F Edd ∝ Σ gas ; Thompson et al 2005;Ostriker & Shetty 2011), which is broadly consistent with our results, particularly for starburst SMGs for which the K-S slope is consistent with unity within ∼ 0.4σ.…”
Section: Data Analysis Results and Discussionmentioning
confidence: 99%
“…Equation 21 predicts a smooth variation in X CO based on the physical conditions within a galaxy, rather than a bimodality. Obreschkow & Rawlings (2009) applied a Bayesian analysis to literature observational data, and recovered a similar relation between the conversion factor and CO surface brightness, while Ballantyne et al (2013) evolved analytic models for Eddington-limited starbursts to also find an inverse relationship between X CO and W CO . Similarly, Lagos et al (2012) utilize a semi-analytic model coupled with a photo-dissociation region (PDR) code to investigate the relationship between X CO , metallicity, UV intensity, and gas surface density.…”
Section: Deriving H 2 Gas Masses From High-redshift Galaxiesmentioning
confidence: 89%
“…Therefore, it would be interesting to study how the vertical distribution of SF affects the scale-height h and N H distribution of NSDs. The Kennicutt-Schmidt law (which is also called the star-formation law) relates starformation rate density Σ * to the surface gas density Σ gas by Σ gas ∝ Σ α * (Schmidt 1959;Kennicutt 1998;Kennicutt & Evans 2012), where α is expected to be ≈ 1 for radiation pressure dominated regions (Ballantyne et al 2013). Hence, we model the linear vertical distribution of Σ * on Σ using the prescription presented by Hubeny & Hubeny (1998).…”
Section: Vertical Distribution Of σ *mentioning
confidence: 99%