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Theories of the initial mass function

Published online by Cambridge University Press:  27 April 2011

Patrick Hennebelle
Affiliation:
Laboratoire de radioastronomie, Ecole normale supérieure and Observatoire de Paris, UMR CNRS 8112 24 rue Lhomond, 75231 Paris Cedex 05, France email: patrick.hennebelle@ens.fr
Gilles Chabrier
Affiliation:
CRAL, Ecole normale supérieure de Lyon, UMR CNRS 5574, Univesrité de Lyon, 69364 Lyon Cedex 07, France email: chabrier@ens-lyon.fr
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Abstract

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We review the various theories which have been proposed along the years to explain the origin of the stellar initial mass function. We pay particular attention to four models, namely the competitive accretion and the theories based respectively on stopped accretion, MHD shocks and turbulent dispersion. In each case, we derive the main assumptions and calculations that support each theory and stress their respective successes and failures or difficulties.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2011

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