The mmax-Mecl relation, the IMF and IGIMF: probabilistically sampled functions?

Abstract

We introduce a new method to measure the dispersion of mmax values of star clusters and show that the observed sample of mmax is inconsistent with random sampling from an universal stellar initial mass function (IMF) at a 99.9% confidence level. The scatter seen in the mmax-Mecl data can be mainly (76%) understood as being the result of observational uncertainties only. The scatter of mmax values at a given Mecl are consistent with mostly measurement uncertainties such that the true (physical) scatter may be very small. Additionally, new data on the local star-formation regions Taurus-Auriga and L1641 in Orion make stochastically formed stellar populations rather unlikely. The data are however consistent with the local IGIMF (integrated galactic stellar initial mass function) theory according to which a stellar population is a sum of individual star-forming events each of which is described by well defined physical laws. Randomly sampled IMFs and henceforth scale-free star formation seems to be in contradiction to observed reality.

24 pages, 3 figures, 5 tables; accepted for publication by MNRAS

References in corpus (50)

• The distance to the Orion Nebula
• A systematic variation of the stellar initial mass function in early-type galaxies
• The R136 star cluster hosts several stars whose individual masses greatly exceed the accepted 150 Msun stellar mass limit
• Spitzer Observations of NGC 1333: A Study of Structure and Evolution in a Nearby Embedded Cluster
• Gas expulsion and the destruction of massive young clusters
• The XMM-Newton Extended Survey of the Taurus Molecular Cloud (XEST)
• Evidence for the Strong Effect of Gas Removal on the Internal Dynamics of Young Stellar Clusters
• The most massive stars in the Arches cluster
• A systematic survey for infrared star clusters with |b|<20deg using 2MASS
• The Initial Mass Function of the Massive Star-forming Region NGC 3603 from Near-Infrared Adaptive Optics observations
• A Possible Origin of the Mass-Metallicity Relation of Galaxies
• Clustered and Triggered Star Formation in W5: Observations with Spitzer
• Converting H$\alpha$ Luminosities into Star Formation Rates
• Do O-stars form in isolation?
• Diverging UV and Halpha fluxes of star forming galaxies predicted by the IGIMF theory
• Tracing the young massive high-eccentricity binary system Theta 1 Orionis C through periastron passage
• Rotational Velocities For B0-B3 Stars in 7 Young Clusters: Further Study of the Relationship between Rotation Speed and Density in Star-Forming Regions
• Dense Stellar Populations: Initial Conditions
• The VLT-FLAMES Tarantula Survey III: A very massive star in apparent isolation from the massive cluster R136
• On the Constancy of the Characteristic Mass of Young Stars
• The very massive binary NGC3603-A1
• Mass segregation in very young open clusters -- A case study of NGC 2244 and NGC 6530
• Empirical isochrones and relative ages for young stars, and the radiative-convective gap
• X-ray and IR Point Source Identification and Characteristics In the Embedded, Massive Star-Forming Region RCW 38
• Extragalactic Constraints on the Initial Mass Function
• An X-ray Census of Young Stars in the Massive Southern Star-Forming Complex NGC 6357
• Pismis 24-1: The Stellar Upper Mass Limit Preserved
• The influence of multiple stars on the high-mass stellar initial mass function and age-dating of young massive star clusters
• Maximum stellar mass versus cluster membership number revisited
• Stellar contents and star formation in the young star cluster Be 59
• Type Ibc supernovae in disturbed galaxies: evidence for a top-heavy IMF
• A discontinuity in the low-mass IMF - the case of high multiplicity
• Chandra monitoring of the very massive binary WR20a and the young massive cluster Westerlund2
• Biases on initial mass function determinations. II. Real multiple systems and chance superpositions
• A deep look into the cores of young clusters I. sigma-Orionis
• Near-infrared Study of the Carina Nebula
• An XMM-Newton view of the young open cluster NGC 6231 III. Optically faint X-ray sources
• On the infant weight loss of low- to intermediate-mass star clusters
• Obscured clusters.I. GLIMPSE30 - Young Milky Way Star Cluster Hosting Wolf-Rayet Stars
• An XMM-Newton view of the young open cluster NGC 6231 -- I. The catalogue
• Unveiling the birth and evolution of the HII region Sh2-173
• The young Galactic star cluster [DBS2003]179
• The scale-free character of the cluster mass function and the universality of the stellar IMF
• Discovery of new Milky Way star cluster candidates in the 2MASS point source catalog. V. Follow-up observations of the young stellar cluster candidates RCW87, [BDSB2003]164 and [DBSB2003]172
• NTT follow-up observations of star cluster candidates from the FSR catalogue
• Dense Molecular Gas In A Young Cluster Around MWC 1080 -- Rule Of The Massive Star
• The embedded cluster DBSB48 in the nebula Hoffleit18: comparison with Trumpler14
• Investigating star formation in the young open cluster NGC 6383
• A young double stellar cluster in a HII region, emerging from its parent molecular cloud
• The structure and dynamics of young star clusters: King 16, NGC 1931, NGC 637 and NGC 189

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