The relation between accretion rates and the initial mass function in hydrodynamical simulations of star formation
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We analyse a hydrodynamical simulation of star formation. Sink particles in the simulations which represent stars show episodic growth, which is presumably accretion from a core that can be regularly replenished in response to the fluctuating conditions in the local environment. The accretion rates follow ṁ α m2/3, as expected from accretion in a gas-dominated potential, but with substantial variations overlaid on this. The growth times follow an exponential distribution which is tapered at long times due to the finite length of the simulation. The initial collapse masses have an approximately lognormal distribution with already an onset of a power law at large masses. The sink particle mass function can be reproduced with a non-linear stochastic process, with fluctuating accretion rates ∝m2/3, a distribution of seed masses and a distribution of growth times. All three factors contribute equally to the form of the final sink mass function. We find that the upper power-law tail of the initial mass function is unrelated to Bondi-Hoyle accretion.
Maschberger , T , Bonnell , I A , Clarke , C J & Moraux , E 2014 , ' The relation between accretion rates and the initial mass function in hydrodynamical simulations of star formation ' Monthly Notices of the Royal Astronomical Society , vol 439 , no. 1 , pp. 234-246 . DOI: 10.1093/mnras/stt2403
Monthly Notices of the Royal Astronomical Society
© 2014 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society
DescriptionTM acknowledges funding via the ANR 2010 JCJC 0501 1 ‘DESC’ (Dynamical Evolution of Stellar Clusters). IAB acknowledges funding from the European Research Council for the FP7 ERC advanced grant project ECOGAL.
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