A minimum hypothesis explanation for an IMF with a lognormal body and power law tail

Details A minimum hypothesis explanation for an IMF with a lognormal body and power law tail A minimum hypothesis explanation for an IMF with a lognormal body and power law tail

2004-11-15

arxiv.org/abs/astro-ph/0411419v1

Astronomy and Astrophysics

Astrophysics

2 pages, 1 figure, to appear in IMF@50, eds. E. Corbelli, F. Palla, and H. Zinnecker, Kluwer, Astrophysics and Space Science L

Scientific paper

We present a minimum hypothesis model for an IMF that resembles a lognormal distribution at low masses but has a distinct power-law tail. Even if the central limit theorem ensures a lognormal distribution of condensation masses at birth, a power-law tail in the distribution arises due to accretion from the ambient cloud, coupled with a non-uniform (exponential) distribution of accretion times.

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