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Title: Simulating Brown Dwarf Observations for Various Mass Functions, Birthrates, and Low-mass Cutoffs
Abstract After decades of brown dwarf discovery and follow-up, we can now infer the functional form of the mass distribution within 20 pc, which serves as a constraint on star formation theory at the lowest masses. Unlike objects on the main sequence that have a clear luminosity-to-mass correlation, brown dwarfs lack a correlation between an observable parameter (luminosity, spectral type, or color) and mass. A measurement of the brown dwarf mass function must therefore be procured through proxy measurements and theoretical models. We utilize various assumed forms of the mass function, together with a variety of birthrate functions, low-mass cutoffs, and theoretical evolutionary models, to build predicted forms of the effective temperature distribution. We then determine the best fit of the observed effective temperature distribution to these predictions, which in turn reveals the most likely mass function. We find that a simple power law ( dN / dM M α ) withα≈ 0.5 is optimal. Additionally, we conclude that the low-mass cutoff for star formation is ≲0.005M. We corroborate the findings of Burgasser, which state that the birthrate has a far lesser impact than the mass function on the form of the temperature distribution, but we note that our alternate birthrates tend to favor slightly smaller values ofαthan the constant birthrate. Our code for simulating these distributions is publicly available. As another use case for this code, we present findings on the width and location of the subdwarf temperature gap by simulating distributions of very old (8–10 Gyr) brown dwarfs.  more » « less
Award ID(s):
2238468
PAR ID:
10571638
Author(s) / Creator(s):
; ; ; ; ; ; ; ; ; ; ;
Corporate Creator(s):
Publisher / Repository:
AAS Journals
Date Published:
Journal Name:
The Astrophysical Journal
Volume:
974
Issue:
2
ISSN:
0004-637X
Page Range / eLocation ID:
222
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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