The DOI matches its Crossref record; 514 of the 514 references it cites were found in a registry or an index.
The big problems in star formation: The star formation rate, stellar clustering, and the initial mass function
Open accessAbstract
Abstract Star formation lies at the center of a web of processes that drive cosmic evolution: generation of radiant energy, synthesis of elements, formation of planets, and development of life. Decades of observations have yielded a variety of empirical rules about how it operates, but at present we have no comprehensive, quantitative theory. In this review I discuss the current state of the field of star formation, focusing on three central questions: What controls the rate at which gas in a galaxy converts to stars? What determines how those stars are clustered, and what fraction of the stellar population ends up in gravitationally-bound structures? What determines the stellar initial mass function, and does it vary with star-forming environment? I use these three questions as a lens to introduce the basics of star formation, beginning with a review of the observational phenomenology and the basic physical processes. I then review the status of current theories that attempt to solve each of the three problems, pointing out links between them and opportunities for theoretical and numerical work that crosses the scale between them. I conclude with a discussion of prospects for theoretical progress in the coming years.
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Cites
Galactic Stellar and Substellar Initial Mass Function
Chabrier, G. (2003) · Publications of the Astronomical Society of the Pacific · doi:10.1086/376392 · Cited by 9,071
The Luminosity Function and Stellar Evolution.
Salpeter, E. E. (1955) · The Astrophysical Journal · doi:10.1086/145971 · Cited by 8,697
On the variation of the initial mass function
Kroupa, P. (2001) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2001.04022.x · Cited by 7,499
STAR FORMATION IN GALAXIES ALONG THE HUBBLE SEQUENCE
Kennicutt, R. C. (1998) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.36.1.189 · Cited by 6,578
The Global Schmidt Law in Star‐forming Galaxies
Kennicutt, Jr. (1998) · The Astrophysical Journal · doi:10.1086/305588 · Cited by 5,202
Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation
Press, W. H., & Schechter, P. (1974) · The Astrophysical Journal · doi:10.1086/152650 · Cited by 4,916
On the Gravitational Stability of a Disk of Stars
Toomre, A. (1964) · The Astrophysical Journal · doi:10.1086/147861 · Cited by 3,349
Embedded Clusters in Molecular Clouds
Lada, C. J., & Lada, E. A. (2003) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.41.011802.094844 · Cited by 3,034
Star Formation in the Milky Way and Nearby Galaxies
Kennicutt, R. C., & Evans, N. J. (2012) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081811-125610 · Cited by 2,902 · cited 4×
“…is not true in present-day spirals with tdep ∼ 1 Gyr,2 or even for large star-forming galaxies up to z ∼ 3 (Saintonge et al. 2013), though it 2However, Kennicutt & Evans (2012) point out that even the Milky might have been true for their progenitors at even higher redshift (Krumholz & Dekel 2012).”
BackgroundInfluentialTurbulence and star formation in molecular clouds
Larson, R. B. (1981) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/194.4.809 · Cited by 2,592
Cited by
Dusty star-forming galaxies at high redshift
Casey, C. M., Narayanan, D., & Cooray, A. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.02.009 · Cited by 800
The Evolution of Compact Binary Star Systems
Postnov, K. A., & Yungelson, L. R. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-3 · Cited by 486
A unified multiwavelength model of galaxy formation
Lacey, C. G., Baugh, C. M., Frenk, C. S., Benson, A. J., Bower, R. G., Cole, S., Gonzalez-Perez, V., Helly, J. C., Lagos, C. D. P., & Mitchell, P. D. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw1888 · Cited by 422
A unified model for galactic discs: star formation, turbulence driving, and mass transport
Krumholz, M. R., Burkhart, B., Forbes, J. C., & Crocker, R. M. (2018) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/sty852 · Cited by 319
Self-citationA dynamical model for the formation of gas rings and episodic starbursts near galactic centres
Krumholz, M. R., & Kruijssen, J. M. D. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv1670 · Cited by 142
Self-citation
Metadata
- Authors
- Krumholz, M. R.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2014-06
- Volume
- 539
- Issue
- 2
- Pages
- 49-134
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2046456894
- Cited by
- 321
- References
- 514
- FWCI
- 12.55
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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