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The stellar initial mass function (IMF) is critical to our understanding of star formation and the effects of young stars on their environment. On large scales, it enables us to use tracers such as UV or Halpha emission to estimate the star…

The origin of the stellar initial mass function (IMF) and its relation with the core mass function (CMF) are actively debated issues with important implications in astrophysics. Recent observations in the W43 molecular complex of top-heavy…

We investigate the relation of the stellar initial mass function (IMF) and the dense core mass function (CMF), using stellar masses and positions in 14 well-studied young groups. Initial column density maps are computed by replacing each…

Solar and Stellar Astrophysics · Physics 2011-06-24 Manon Michel , Helen Kirk , Philip C. Myers

We review current theories for the origin of the Stellar Initial Mass Function (IMF) with particular focus on the extent to which the IMF can be considered universal across various environments. To place the issue in an observational…

The stellar initial mass function (IMF) is commonly interpreted to be a scale-invariant probability density distribution function (PDF) such that many small clusters yield the same IMF as one massive cluster of the same combined number of…

Astrophysics of Galaxies · Physics 2023-02-22 Zhiqiang Yan , Tereza Jerabkova , Pavel Kroupa

In our SCUBA survey of Perseus, we find that the fraction of protostellar cores increases towards higher masses and the most massive cores are all protostellar. In this paper we consider the possible explanations of this apparent mass…

Astrophysics · Physics 2009-11-13 Jennifer Hatchell , Gary Fuller

The stellar initial mass function (IMF) integrated over an entire galaxy is an integral over all separate star-formation events. Since most stars form in star clusters with different masses the integrated IMF becomes an integral of the…

Astrophysics · Physics 2007-05-23 C. Weidner , P. Kroupa

We present observational evidence of the correlation between the high-mass slope of the stellar initial mass function (IMF) in young star clusters and their stellar surface density, $\sigma_{*}$. When the high-mass end of the IMF is…

Astrophysics of Galaxies · Physics 2023-11-03 Sami Dib

Recent studies of dense clumps/cores in a number of regions of low-mass star formation have shown that the mass distribution of these clumps closely resembles the initial mass function (IMF) of field stars. One possible interpretation of…

Astrophysics · Physics 2009-06-23 Paul C. Clark , Ralf S. Klessen , Ian A. Bonnell

The mass function of clumps observed in molecular clouds raises interesting theoretical issues, especially in its relation to the stellar initial mass function. We propose a statistical model of the mass function of prestellar cores (CMF),…

Astrophysics of Galaxies · Physics 2020-03-18 S. Donkov , T. V. Veltchev , Ph. Girichidis , R. S. Klessen

We show that the ambipolar-diffusion--initiated fragmentation of molecular clouds leads simply and naturally to an initial core mass function (CMF) which is very similar to the initial stellar mass function (IMF) and in excellent agreement…

Solar and Stellar Astrophysics · Physics 2015-05-13 Matthew W. Kunz , Telemachos Ch. Mouschovias

As most if not all stars are born in stellar clusters the shape of the mass function of the field stars is not only determined by the initial mass function of stars (IMF) but also by the cluster mass function (CMF). In order to quantify…

Astrophysics · Physics 2015-11-11 Carsten Weidner , Pavel Kroupa

The semi-empirical initial-final mass relation (IFMR) connects spectroscopically analyzed white dwarfs in star clusters to the initial masses of the stars that formed them. Most current stellar evolution models, however, predict that stars…

Solar and Stellar Astrophysics · Physics 2019-01-30 Jeffrey D. Cummings , Jason S. Kalirai , Jieun Choi , Cyril Georgy , Pier-Emmanuel Tremblay , Enrico Ramirez-Ruiz

The core mass function (CMF) of prestellar cores is essential for understanding the initial conditions of star and cluster formation. However, the universality of the CMF and its relationship to the initial mass function (IMF) remain…

The stellar initial mass functions (IMFs) for the Galactic bulge, the Milky Way, other galaxies, clusters of galaxies, and the integrated stars in the Universe are composites from countless individual IMFs in star clusters and associations…

Astrophysics · Physics 2008-11-26 Bruce G. Elmegreen

Two varieties of the universal stellar initial mass function (IMF) viz., the Kroupa and the Chabrier IMF, have emerged over the last decade to explain the observed distribution of stellar masses. The possibility of the universal nature of…

Astrophysics of Galaxies · Physics 2015-06-05 S. Anathpindika

The initial mass function (IMF) succinctly characterizes a stellar population, provides a statistical measure of the end result of the star-formation process, and informs our under- standing of the structure and dynamical evolution of…

Solar and Stellar Astrophysics · Physics 2011-07-25 Kevin R. Covey , Nate Bastian , Michael R. Meyer

We review computational approaches to understanding the origin of the Initial Mass Function (IMF) during the formation of star clusters. We examine the role of turbulence, gravity and accretion, equations of state, and magnetic fields in…

Solar and Stellar Astrophysics · Physics 2015-05-20 Ralph E. Pudritz

Few topics in astronomy initiate such vigorous discussion as whether or not the initial mass function (IMF) of stars is universal, or instead sensitive to the initial conditions of star formation. The distinction is of critical importance:…

Solar and Stellar Astrophysics · Physics 2010-12-01 Nate Bastian , Kevin R. Covey , Michael R. Meyer

The origin of the stellar Initial Mass Function (IMF) and how it may vary with galactic environment is a matter of debate. Certain star formation theories involve a close connection between the IMF and the Core Mass Function (CMF) so it is…

Astrophysics of Galaxies · Physics 2025-02-18 Alva V. I. Kinman , Maya A. Petkova , Jonathan C. Tan , Giuliana Cosentino , Yu Cheng