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Journal ArticleDOI

Modeling of the Initial Mass Function Using the Metropolis−Hastings Algorithm

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TLDR
In this article, a stochastic model for the hierarchical fragmentation of a molecular cloud was developed, where the number of fragments, time between successive fragmentation steps, and mass of a fragment were considered as random variables, and fragment masses were generated using the Metropolis-Hastings algorithm.
Abstract
A stochastic model has been developed for the hierarchical fragmentation of a molecular cloud. Here, the number of fragments, time between successive fragmentation steps, and mass of a fragment are considered as random variables, and fragment masses are generated using the Metropolis-Hastings algorithm. The resulting mass spectra, computed at different projected distances and taking opacity into consideration, show a signature of mass segregation. The critical mass, mass spectrum, and mass segregation are consistent with the observations of young massive clusters in our Galaxy as well as in external galaxies.

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Citations
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Journal ArticleDOI

The initial mass function modeled by a left truncated beta distribution

TL;DR: In this article, a left truncated beta probability density function was introduced to demonstrate the advantage of introducing a four-parameter initial mass function for the stars and the presence of brown dwarfs.
Journal ArticleDOI

Cosmic history of integrated galactic stellar initial mass function : a simulation study

TL;DR: In this paper, the authors investigated the effect of the evolution of the stellar initial mass function (IMF) with increasing redshift on the formation of massive clusters in star burst galaxies.
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Cosmic History of the Integrated Galactic Stellar Initial Mass Function: A Simulation Study

TL;DR: In this article, the authors investigate the evolution of the stellar initial mass function (IMF) and varying indices of β for the integrated galactic initial mass functions, in relation to several measures of star formation rates of galaxies at various redshifts by random simulation.
Journal ArticleDOI

The low-mass Initial Mass Function in the 30 Doradus starburst cluster

TL;DR: In this article, the authors presented deep Hubble Space Telescope (HST) NICMOS 2 F160W band observations of the central 56*57" (14pc*14.25pc) region around R136 in the starburst cluster 30 Dor (NGC 2070) located in the Large Magellanic Cloud.
Journal Article

The Formation and Early Dynamical Evolution of Bound Stellar Systems

TL;DR: In this paper, the results of numerical N-body calculations which simulate the dynamical evolution of young clusters as they emerge from molecular clouds have been presented, and the combination of these parameters which result in the production of bound stellar groups after the gas not used in star formation is completely dispersed.
References
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Journal ArticleDOI

On the fragmentation of cosmic gas clouds. II - Opacity-limited star formation

J. Silk
TL;DR: In this article, a minimum fragment size of approximately 0.01 solar mass is found in spherical collapse, but may be the same or larger for spheroidal collapse, and a simple analytic expression is given for the characteristic protostellar mass above which further fragmentation can occur during the early opaque phases of dynamical protopellar collapse.
Journal ArticleDOI

Mass Function of the Arches Cluster from Gemini Adaptive Optics Data

TL;DR: In this paper, high-resolution adaptive optics (AO) science demonstration data of the young, massive stellar cluster Arches near the Galactic Center, obtained with the Gemini North telescope in combination with the University of Hawai'i AO system Hokupa'a, was analyzed.
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Do O-stars form in isolation?

TL;DR: In this article, it was shown that the fraction of apparently isolated O-stars is reproduced when stars are sampled from a standard initial mass function and a standard cluster mass function of the form N(M) √ M −2 ǫ √ n −2.
Journal ArticleDOI

The mass function of the Arches cluster from Gemini adaptive optics data

TL;DR: In this paper, high-resolution adaptive optics (AO) science demonstration data of the young, massive stellar cluster Arches near the Galactic Center, obtained with the Gemini North telescope in combination with the University of Hawai'i AO system Hokupa'a, was analyzed.
Journal ArticleDOI

Using the minimum spanning tree to trace mass segregation

TL;DR: In this paper, the authors proposed a method to detect and quantify mass segregation in star clusters by comparing the minimum spanning tree (MST) of massive stars with that of random stars.
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