ON THE ORIGIN OF THE SALPETER SLOPE FOR THE INITIAL MASS FUNCTION

Journal Article · Sat Oct 01 04:00:00 EDT 2011 · Astrophysical Journal Letters

DOI:https://doi.org/10.1088/2041-8205/739/2/L46· OSTI ID:21565431

Oey, M S ^[1]

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1. Department of Astronomy, University of Michigan, 830 Dennison Building, 500 Church Street, Ann Arbor, MI 48109-1042 (United States)

We suggest that the intrinsic, stellar initial mass function (IMF) follows a power-law slope {gamma} = 2, inherited from hierarchical fragmentation of molecular clouds into clumps and clumps into stars. The well-known, logarithmic Salpeter slope {Gamma} = 1.35 in clusters is then the aggregate slope for all the star-forming clumps contributing to an individual cluster, and it is steeper than the intrinsic slope within individual clumps because the smallest star-forming clumps contributing to any given cluster are unable to form the highest-mass stars. Our Monte Carlo simulations demonstrate that the Salpeter power-law index is the limiting value obtained for the cluster IMF when the lower-mass limits for allowed stellar masses and star-forming clumps are effectively equal, M{sub lo} = M{sub lo}. This condition indeed is imposed for the high-mass IMF tail by the turnover at the characteristic value m{sub c} {approx} 1 M{sub sun}. IMF slopes of {Gamma} {approx} 2 are obtained if the stellar and clump upper-mass limits are also equal M{sub up} = M{sub up} {approx} 100 M{sub sun}, and so our model explains the observed range of IMF slopes between {Gamma} {approx} 1 and 2. Flatter slopes of {Gamma} = 1 are expected when M{sub lo} > M{sub up}, which is a plausible condition in starbursts, where such slopes are suggested to occur. While this model is a simplistic parameterization of the star formation process, it seems likely to capture the essential elements that generate the Salpeter tail of the IMF for massive stars. These principles also likely explain the integrated galaxy IMF (IGIMF) effect seen in low-density star-forming environments.

• OSTI ID: 21565431
• Journal Information: Astrophysical Journal Letters, Journal Name: Astrophysical Journal Letters Journal Issue: 2 Vol. 739; ISSN 2041-8205
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
CALCULATION METHODS
CLOUDS
COMPUTERIZED SIMULATION
FRAGMENTATION
FUNCTIONS
GALAXIES
MASS
MONTE CARLO METHOD
SIMULATION
STAR CLUSTERS
STARS