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We develop a statistical approach for description of dense structures (cores) in molecular clouds that might be progenitors of stars. Our basic assumptions are a core mass-density relationship and a power-law density distribution of these…

Solar and Stellar Astrophysics · Physics 2012-06-08 Sava Donkov , Orlin Stanchev , Todor V. Veltchev

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

Stars form in dense, dusty clumps of molecular clouds, but little is known about their origin and evolution. In particular, the relationship between the mass distribution of these clumps (also known as the "clump mass function", or CMF) and…

We derive the mass function of condensations (clumps) which were formed through a turbulent cascade over a range of spatial scales $L\le20$ pc during early, predominantly turbulent evolution of a molecular cloud. The approach rests upon the…

Solar and Stellar Astrophysics · Physics 2015-06-04 Sava Donkov , Todor V. Veltchev , Ralf S. Klessen

The mass distribution of prestellar cores is obtained for clouds with arbitrary internal mass distributions using a selection criterion based on the thermal and turbulent Jeans mass and applied hierarchically from small to large scales. We…

Solar and Stellar Astrophysics · Physics 2012-08-02 Antonio Parravano , Nestor Sanchez , Emilio J. Alfaro

We present a simple statistical analysis of recent numerical simulations exploring the correlation between the core mass function obtained from the fragmentation of a molecular cloud and the stellar mass function which forms from these…

Solar and Stellar Astrophysics · Physics 2015-05-20 Gilles Chabrier , Patrick Hennebelle

Observations have indicated that the prestellar core mass function (CMF) is similar to the stellar initial mass function (IMF), except for an offset towards larger masses. This has led to the idea that there is a one-to-one relation between…

Solar and Stellar Astrophysics · Physics 2021-03-31 V. -M. Pelkonen , P. Padoan , T. Haugbølle , Å. Nordlund

The core mass function (CMF) of prestellar cores is essential for understanding the initial conditions of star and cluster formation. However, the universality of the CMF and its relationship to the initial mass function (IMF) remain…

Context: Stars form in the cold dense cores of interstellar molecular clouds and the detailed knowledge of the spectrum of masses of such cores is clearly a key for the understanding of the origin of the IMF. To date, observations have…

Astrophysics · Physics 2011-06-21 J. Alves , M. Lombardi , C. Lada

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

It has been shown that fragmentation within self-gravitating, turbulent molecular clouds ("turbulent fragmentation") can naturally explain the observed properties of protostellar cores, including the core mass function (CMF). Here, we…

Astrophysics of Galaxies · Physics 2018-04-25 David Guszejnov , Philip F. Hopkins

Using an SPH simulation of a star-forming region in a molecular cloud, we show that the emergence of a clump mass function (CMF) resembling the stellar initial mass function (IMF) is a ubiquitous feature of molecular cloud structure, but…

Astrophysics · Physics 2009-11-13 Rowan J. Smith , Paul C. Clark , Ian A. Bonnell

The origin of the stellar initial mass function (IMF) is one of the most debated issues in astrophysics. Here, we explore the possible link between the quasi-universal filamentary structure of star-forming molecular clouds and the origin of…

Astrophysics of Galaxies · Physics 2019-08-28 Philippe André , Doris Arzoumanian , Vera Könyves , Yoshito Shimajiri , Pedro Palmeirim

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

The statistical approach for derivation of the clump mass function (ClMF) developed by Donkov, Veltchev & Klessen is put to observational test through comparison with mass distributions of clumps from molecular emission and dust continuum…

Astrophysics of Galaxies · Physics 2015-06-15 Todor V. Veltchev , Sava Donkov , Ralf S. Klessen

Compression in giant molecular cloud (GMC) collisions is a promising mechanism to trigger formation of massive star clusters and OB associations. We simulate colliding and non-colliding magnetised GMCs and examine the properties of…

Astrophysics of Galaxies · Physics 2023-04-05 Chia-Jung Hsu , Jonathan C. Tan , Duncan Christie , Yu Cheng , Theo J. O'Neill

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

The stellar initial mass function (IMF) is fundamental for many areas of astrophysics, but its origin remains poorly understood. It may be inherited from the core mass function (CMF) or arise as a result of more chaotic, competitive…

Astrophysics of Galaxies · Physics 2021-08-04 Theo J. O'Neill , Giuliana Cosentino , Jonathan C. Tan , Yu Cheng , Mengyao Liu

In this work, we derive the stellar initial mass function (IMF) from the superposition of mass distributions of dense cores, generated through gravoturbulent fragmentation of unstable clumps in molecular clouds (MCs) and growing through…

Solar and Stellar Astrophysics · Physics 2015-05-20 Todor Veltchev , Ralf S. Klessen , Paul C. Clark

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
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