2021/02/17 by D. G. Nam, Donghee G Nam, Christoph Federrath +3 · 22 citations
Chemical Engineering · Physics and Astronomy · #Advanced Combustion Engine Technologies #Astrophysics #Astrophysics and Star Formation Studies #Exponent #Function (biology) #Galaxy #Initial mass function #Interstellar medium #Measure (data warehouse) #Mechanics #Molecular cloud #Physics #Star formation #Stars #Stellar, planetary, and galactic studies #Turbulence #astro-ph.GA #astro-ph.SR
paper · pdf · doi:10.1093/mnras/stab505
published in Monthly Notices of the Royal Astronomical Society 503(1), 1138-1148 (Oxford University Press)
arxiv created 2021/02/17 · openalex publication_date 2021/02/24 · arxiv updated 2021/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
ABSTRACT Supersonic turbulence in the interstellar medium (ISM) is closely linked to the formation of stars; hence, many theories connect the stellar initial mass function (IMF) with the turbulent properties of molecular clouds. Here, we test three turbulence-based IMF models (by Padoan and Nordlund, Hennebelle and Chabrier, and Hopkins) that predict the relation between the high-mass slope (Γ) of the IMF, dN/d log M ∝ MΓ, and the exponent n of the velocity power spectrum of turbulence, Ev(k) ∝ k−n, where n ≈ 2 corresponds to typical ISM turbulence. Using hydrodynamic simulations, we drive turbulence with an unusual index of n ≈ 1, measure Γ, and compare the results with n ≈ 2. We find that reducing n from 2 to 1 primarily changes the high-mass region of the IMF (beyond the median mass), where we measure high-mass slopes within the 95 per cent confidence interval of −1.5 < Γ < −1 for n ≈ 1 and −3.7 < Γ < −2.4 for n ≈ 2, respectively. Thus, we find that n = 1 results in a significantly flatter high-mass slope of the IMF, with more massive stars formed than for n ≈ 2. We compare these simulations with the predictions of the three IMF theories. We find that while the theory by Padoan and Nordlund matches our simulations with fair accuracy, the other theories either fail to reproduce the main qualitative outcome of the simulations or require some modifications. We conclude that turbulence plays a key role in shaping the IMF, with a shallower turbulence power spectrum producing a shallower high-mass IMF, and hence more massive stars.