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MODELING OF THE INITIAL MASS FUNCTION USING THE METROPOLIS-HASTINGS ALGORITHM

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 algori...

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Bibliographic Details
Published in:The Astrophysical journal 2011-08, Vol.736 (2), p.152-jQuery1323905727895='48'
Main Authors: CHATTOPADHYAY, Tanuka, ASIS KUMAR CHATTOPADHYAY, SINHA, Abisa
Format: Article
Language:English
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Summary: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.
ISSN:0004-637X
1538-4357
DOI:10.1088/0004-637X/736/2/152