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The initial mass function (IMF) succinctly characterizes a stellar population, provides a statistical measure of the end result of the star-formation process, and informs our under- standing of the structure and dynamical evolution of…

Solar and Stellar Astrophysics · Physics 2011-07-25 Kevin R. Covey , Nate Bastian , Michael R. Meyer

We investigate the formation of planetesimals via the gravitational instability of solids that have settled to the midplane of a circumstellar disk. Vertical shear between the gas and a subdisk of solids induces turbulent mixing which…

Astrophysics · Physics 2008-11-26 Andrew N. Youdin , Frank H. Shu

An essential component of galaxy formation theory is the stellar initial mass function (IMF), that describes the parent distribution of stellar mass in star forming regions. We present observational evidence in a sample of early-type…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 I. Ferreras , F. La Barbera , R. R. de Carvalho , I. G. de la Rosa , A. Vazdekis , J. Falcon-Barroso , E. Ricciardelli

The origin of the stellar initial mass function (IMF) is a fundamental issue in the theory of star formation. It is generally fit with a composite power law. Some clues on the progenitors can be found in dense starless cores that have a…

Astrophysics of Galaxies · Physics 2015-09-21 Tingtao Zhou , Chelsea X. Huang , D. N. C. Lin , Matthias Gritschneder , Herbert Lau

The stellar initial mass function (IMF) is predicted to depend upon the temperature of gas in star-forming molecular clouds. The introduction of an additional parameter, $T_{IMF}$ , into photometric template fitting, suggest most galaxies…

Turbulence is a critical ingredient for star formation, yet its role for the initial mass function (IMF) is not fully understood. Here we perform magnetohydrodynamical (MHD) simulations of star cluster formation including gravity,…

Astrophysics of Galaxies · Physics 2022-12-07 Sajay Sunny Mathew , Christoph Federrath , Amit Seta

Recent observational evidence for initial mass function (IMF) variations in massive quiescent galaxies at $z = 0$ challenges the long-established paradigm of a universal IMF. While a few theoretical models relate the IMF to birth cloud…

Astrophysics of Galaxies · Physics 2017-08-30 Kirsten Blancato , Shy Genel , Greg Bryan

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

The Stellar Initial Mass Function (IMF) characterizes the mass distribution of newly formed stars in various cosmic environments, serving as a fundamental assumption in astrophysical research. Recent findings challenge the prevalent notion…

Astrophysics of Galaxies · Physics 2024-05-29 Zhiqiang Yan , Jiadong Li , Pavel Kroupa , Tereza Jerabkova , Eda Gjergo , Zhi-Yu Zhang

Observations of normal galactic star-forming regions suggest there is widespread near-uniformity in the initial stellar mass function (IMF) in spite of diverse physical conditions. Fluctuations may come largely from statistical effects and…

Astrophysics · Physics 2007-05-23 B. G. Elmegreen

Accurate specification of a likelihood function is becoming increasingly difficult in many inference problems in astronomy. As sample sizes resulting from astronomical surveys continue to grow, deficiencies in the likelihood function lead…

Instrumentation and Methods for Astrophysics · Physics 2019-04-26 Jessi Cisewski-Kehe , Grant Weller , Chad Schafer

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

The initial mass function (IMF) is an important, yet enigmatic aspect of the star formation process. The two major open questions regarding the IMF are: is the IMF constant regardless of environment? Is the IMF a universal property of star…

Solar and Stellar Astrophysics · Physics 2020-06-29 Kieran Leschinski , João Alves

The initial mass function (IMF) is a construct that describes the distribution of stellar masses for a newly formed population of stars. It is a fundamental element underlying all of star and galaxy formation, and has been the subject of…

Astrophysics of Galaxies · Physics 2025-03-26 Diego Salvador , Andrew Hopkins , Matt Owers , Themiya Nanayakkara , Scott Croom

We propose that the stellar initial mass function (IMF) is universal in the sense that its functional form arises as a consequence of the statistics of random supersonic flows. A model is developed for the origin of the stellar IMF, that…

Astrophysics · Physics 2015-06-24 Paolo Padoan , Ake Nordlund , Bernard J. T. Jones

We suggest that the intrinsic, stellar initial mass function (IMF) follows a power-law slope gamma=2, inherited from hierarchical fragmentation of molecular clouds into clumps and clumps into stars. The well-known, logarithmic Salpeter…

Astrophysics of Galaxies · Physics 2015-05-30 M. S. Oey

Much of our knowledge of galaxies comes from analysing the radiation emitted by their stars. It depends on the stellar initial mass function (IMF) describing the distribution of stellar masses when the population formed. Consequently…

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

The stellar mass distribution in star-forming regions, stellar clusters and associations, the Initial Mass Function (IMF), appears to be invariant across different star-forming environments, and is consistent with the IMF observed in the…

Astrophysics of Galaxies · Physics 2024-12-03 Sunder S. K. Singh-Bal , George A. Blaylock-Squibbs , Richard J. Parker , Simon P. Goodwin

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