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The extent to which the projected distribution of stars in a cluster is due to a large-scale radial gradient, and the extent to which it is due to fractal sub-structure, can be quantified -- statistically -- using the measure ${\cal Q} =…

Solar and Stellar Astrophysics · Physics 2015-05-20 O. Lomax , A. P. Whitworth , A. Cartwright

We model the dynamical evolution of star forming regions with a wide range of initial properties. We follow the evolution of the regions' substructure using the Q-parameter, we search for dynamical mass segregation using the Lambda_MSR…

Astrophysics of Galaxies · Physics 2015-06-17 Richard J. Parker , Nicholas J. Wright , Simon P. Goodwin , Michael R. Meyer

A large sample of young stellar groups is analysed aiming to investigate their clustering properties and dynamical evolution. A comparison of the Q statistical parameter, measured for the clusters, with the fractal dimension estimated for…

Solar and Stellar Astrophysics · Physics 2015-06-23 J. Gregorio-Hetem , A. Hetem , T. Santos-Silva , B. Fernandes

We determine the distribution of stellar surface densities, \Sigma, from models of static and dynamically evolving star clusters with different morphologies, including both radially smooth and substructured clusters. We find that the \Sigma…

Astrophysics of Galaxies · Physics 2015-06-11 Richard J. Parker , Michael R. Meyer

The analysis of the distribution of stars in open clusters may yield important information on the star formation process and early dynamical evolution of stellar clusters. Here we address this issue by systematically characterizing the…

Solar and Stellar Astrophysics · Physics 2011-02-11 Nestor Sanchez , Emilio J. Alfaro

In this work we study the internal spatial structure of 16 open clusters in the Milky Way spanning a wide range of ages. For this, we use the minimum spanning tree method (the Q parameter, which enables one to classify the star distribution…

Astrophysics of Galaxies · Physics 2011-01-04 Nestor Sanchez , Emilio J. Alfaro

We review a range of stastistical methods for analyzing the structures of star clusters, and derive a new measure ${\cal Q}$ which both quantifies, and distinguishes between, a (relatively smooth) large-scale radial density gradient and…

Astrophysics · Physics 2009-11-10 Annabel Cartwright , Anthony P Whitworth

The small-angle scattering curves of deterministic mass fractals are studied and analyzed in the momentum space. In the fractal region, the curve I(q)q^D is found to be log-periodic with a good accuracy, and the period is equal to the…

Statistical Mechanics · Physics 2011-09-14 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

This paper investigates the dynamical evolution of embedded stellar clusters from the protocluster stage, through the embedded star-forming phase, and out to ages of 10 Myr -- after the gas has been removed from the cluster. The relevant…

Solar and Stellar Astrophysics · Physics 2014-11-20 Eva-Marie Proszkow , Fred C. Adams

Understanding the formation and evolution of young star clusters requires quantitative statistical measures of their structure. We investigate the structures of observed and modelled star-forming clusters. By considering the different…

Astrophysics · Physics 2007-05-23 S. Schmeja , R. S. Klessen

We compare the spatial distribution of stars which form in hydrodynamical simulations to the spatial distribution of the gas, using the $\mathcal{Q}$-parameter. The $\mathcal{Q}$-parameter enables a self-consistent comparison between the…

Astrophysics of Galaxies · Physics 2015-06-03 Richard J. Parker , James E. Dale

Many young star clusters appear to be fractal, i.e. they appear to be concentrated in a nested hierarchy of clusters within clusters. We present a new algorithm for statistically analysing the distribution of stars to quantify the level of…

Astrophysics of Galaxies · Physics 2017-01-20 S. E. Jaffa , A. P. Whitworth , O. Lomax

We investigate the structural evolution of young star clusters forming within centrally concentrated molecular clouds. Our simulations use the Torch framework, which integrates the FLASH magnetohydrodynamics code with the AMUSE environment,…

We present a numerical study, based on Monte Carlo simulations, aimed at defining new empirical parameters measurable from observations and able to trace the different phases of star cluster dynamical evolution. As expected, a central…

Astrophysics of Galaxies · Physics 2022-02-23 B. Bhat , B. Lanzoni , F. R. Ferraro , E. Vesperini

We use $N$-body simulations to compare the evolution of spatial distributions of stars and brown dwarfs in young star-forming regions. We use three different diagnostics; the ratio of stars to brown dwarfs as a function of distance from the…

Solar and Stellar Astrophysics · Physics 2015-06-19 Richard J. Parker , Morten Andersen

Quantitative analysis of the structure of star clusters is crucial for understanding their formation and evolution. In this article, we explore the application of fractal dimension analysis to study the evolution of star clusters, also…

Astrophysics of Galaxies · Physics 2025-07-01 N. Ussipov , A. Akhmetali , M. Zaidyn , A. Akniyazova , A. Sakan , M. Kalambay , B. Shukirgaliyev

We examine the idea that dynamical parameters can be estimated by identifying locations in the solar neighbourhood where simulated velocity distributions match the observed local distribution. Here, the dynamical influence of both the…

Astrophysics · Physics 2009-11-13 Dalia Chakrabarty

We simulate the dynamics of fractal star clusters, in order to investigate the evolution of substructure in recently formed clusters. The velocity dispersion is found to be the key parameter determining the survival of substructure. In…

Astrophysics · Physics 2009-11-10 Simon P. Goodwin , A. P. Whitworth

We use fractal analysis to systematically study the clustering strength of the distribution of stars, HII regions, molecular gas, and individual giant molecular clouds in M33 over a wide range of spatial scales. We find a clear transition…

Astrophysics of Galaxies · Physics 2011-09-15 Nestor Sanchez , Neyda Anez , Emilio Alfaro , Mary Crone Odekon

We present simulations of the dynamical evolution of young embedded star clusters. Our initial conditions are directly derived from X-ray, infrared, and radio observations of local systems, and our models evolve both gas and stars…

Astrophysics of Galaxies · Physics 2018-03-20 Alison Sills , Steven Rieder , Jennifer Scora , Jessica McCloskey , Sarah Jaffa
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