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The morphology and kinematics of molecular clouds (MCs) are best explained as the consequence of super--sonic turbulence. Super--sonic turbulence fragments MCs into dense sheets, filaments and cores and large low density ``voids'', via the…

Astrophysics · Physics 2008-11-26 Paolo Padoan , AAke Nordlund

Recent studies seem to suggest that the stellar initial mass function (IMF) in early-type galaxies might be different from a classical Kroupa or Chabrier IMF, i.e. contain a larger fraction of the total mass in low-mass stars. From a…

Astrophysics of Galaxies · Physics 2016-08-05 Clio Bertelli Motta , Paul C. Clark , Simon C. O. Glover , Ralf S. Klessen , Anna Pasquali

We analyze the mass distribution of cores formed in an isothermal, magnetized, turbulent, and self-gravitating nearly critical molecular cloud model. Cores are identified at two density threshold levels. Our main results are that the…

Astrophysics · Physics 2009-11-13 Sami Dib , Axel Brandenburg , Jongsoo Kim , Maheswar Gopinathan , Philippe Andre

A stochastic model of fragmentation of molecular clouds has been developed for studying the resulting Initial Mass Function (IMF) where the number of fragments, inter-occurrence time of fragmentation, masses and velocities of the fragments…

Astrophysics of Galaxies · Physics 2020-06-11 Suman Paul , Tanuka Chattopadhyay

We derive an analytical theory of the prestellar core initial mass function based on an extension of the Press-Schechter statistical formalism. With the same formalism, we also obtain the mass spectrum for the non self-gravitating clumps…

Astrophysics · Physics 2009-11-13 Patrick Hennebelle , Gilles Chabrier

A popular theory of star formation is gravito-turbulent fragmentation, in which self-gravitating structures are created by turbulence-driven density fluctuations. Simple theories of isothermal fragmentation successfully reproduce the core…

Solar and Stellar Astrophysics · Physics 2018-04-25 David Guszejnov , Mark R. Krumholz , Philip F. Hopkins

Super-sonic turbulence fragments molecular clouds (MC) into a very complex density field with density contrasts of several orders of magnitude. A fraction of the gas is locked into dense and gravitationally bound cores, which collapse as…

Astrophysics · Physics 2007-05-23 Paolo Padoan , AAke Nordlund , Ornolfur Einar Rognvaldsson , Alyssa Goodman

Supersonic turbulence fragments the interstellar medium into dense sheets, filaments, cores and large low density voids. The turbulence is driven on large scales, probably predominantly by supernovae. The scaling properties of supersonic…

Astrophysics · Physics 2007-05-23 Aake Nordlund , Paolo Padoan

In the solar neighborhood, the Initial Mass Function (IMF) follows is canonically described by the Salpeter power-law slope for the high-mass range. The stellar IMF may directly result from a Core Mass Function (CMF) through accretion,…

Astrophysics of Galaxies · Physics 2026-05-06 B. Thomasson , I. Joncour , E. Moraux , F. Motte , T. Yoo , A. Ginsburg

Two varieties of the universal stellar initial mass function (IMF) viz., the Kroupa and the Chabrier IMF, have emerged over the last decade to explain the observed distribution of stellar masses. The possibility of the universal nature of…

Astrophysics of Galaxies · Physics 2015-06-05 S. Anathpindika

The mass function of clumps observed in molecular clouds raises interesting theoretical issues, especially in its relation to the stellar initial mass function. We propose a statistical model of the mass function of prestellar cores (CMF),…

Astrophysics of Galaxies · Physics 2020-03-18 S. Donkov , T. V. Veltchev , Ph. Girichidis , R. S. Klessen

We use a recently-developed analytic model for the ISM structure from scales of GMCs through star-forming cores to explore how the pre-stellar core mass function (CMF) and, by extrapolation, stellar initial mass function (IMF) should depend…

Astrophysics of Galaxies · Physics 2014-11-13 Philip F. Hopkins

Similarity in shape between the initial mass function (IMF) and the core mass functions (CMFs) in star-forming regions prompts the idea that the IMF originates from the CMF through a self-similar core-to-star mass mapping process. To…

Astrophysics of Galaxies · Physics 2021-09-08 Yue Cao , Keping Qiu , Qizhou Zhang , Yuwei Wang , Yuanming Xiao

A fraction of the dense cores within a turbulent molecular cloud will eventually collapse to form stars. Identifying the physical criteria for instability and analyzing critical core properties is therefore necessary to star formation…

Astrophysics of Galaxies · Physics 2025-07-16 Sanghyuk Moon , Eve C. Ostriker

We show that the ambipolar-diffusion--initiated fragmentation of molecular clouds leads simply and naturally to an initial core mass function (CMF) which is very similar to the initial stellar mass function (IMF) and in excellent agreement…

Solar and Stellar Astrophysics · Physics 2015-05-13 Matthew W. Kunz , Telemachos Ch. Mouschovias

We address the turbulent fragmentation scenario for the origin of the stellar initial mass function (IMF), using a large set of numerical simulations of randomly driven supersonic MHD turbulence. The turbulent fragmentation model…

Astrophysics of Galaxies · Physics 2018-02-21 Troels Haugbølle , Paolo Padoan , Aake Nordlund

Turbulent fragmentation determines where and when protostellar cores form, and how they contract and grow in mass from the surrounding cloud material. Molecular cloud regions without turbulent driving sources, or where turbulence is driven…

Astrophysics · Physics 2009-11-06 Ralf Klessen

Star formation is intimately linked to the dynamical evolution of molecular clouds. Turbulent fragmentation determines where and when protostellar cores form, and how they contract and grow in mass via accretion from the surrounding cloud…

Astrophysics · Physics 2007-05-23 Ralf Klessen

We propose that the core mass function (CMF) can be driven by filament fragmentation. To model a star-forming system of filaments and fibers, we develop a fractal and turbulent tree with a fractal dimension of 2 and a Larson's law exponent…

Astrophysics of Galaxies · Physics 2025-01-30 Xunchuan Liu , Tie Liu , Xiaofeng Mai , Yu Cheng , Sihan Jiao , Wenyu Jiao , Hongli Liu , Siju Zhang

We present an analysis of star-forming gas cores in an SPH simulation of a Giant Molecular Cloud. We identify cores using their deep potential wells. This yields a smoother distribution with clearer boundaries than density. Additionally,…

Astrophysics of Galaxies · Physics 2015-05-13 Rowan J. Smith , Paul C. Clark , Ian A. Bonnell
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