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We use N-body integration to follow the evolution of clusters of 200 binary systems with different initial half mass radii $R_{0.5}$. We also simulate single-star clusters. All clusters evolve according to the same $n(t)$ curve, where…

Astrophysics · Physics 2015-06-24 Pavel Kroupa

This paper introduces a novel nonparametric criterion for determining the appropriate number of clusters, which is derived from the spatial median. The method is constructed to reconcile two competing objectives of cluster analysis: the…

Computation · Statistics 2025-09-26 Hend Gabr , Brian H Willis , Mohammed Baragilly

Virialized systems, such as clusters and groups of galaxies, represent an ideal laboratory for investigating the formation and evolution of structure on the largest scales. Furthermore, the properties of the gaseous intracluster medium…

Astrophysics · Physics 2007-05-23 Alastair J. R. Sanderson , Trevor J. Ponman

We present the first results of a project aimed at following the formation and long-term dynamical evolution of star clusters within the potential of a host galaxy. Here we focus on a model evolved within a simplified potential representing…

Astrophysics · Physics 2009-11-13 Jarrod R. Hurley , Kenji Bekki

In the framework of model-based clustering, a model allowing several latent class variables is proposed. This model assumes that the distribution of the observed data can be factorized into several independent blocks of variables. Each…

Methodology · Statistics 2018-01-23 Matthieu Marbac , Vincent Vandewalle

The level of mass segregation in the core of globular clusters has been previously proposed as a potential indicator of the dynamical constituents of the system, such as presence of a significant population of stellar-mass black holes…

Astrophysics of Galaxies · Physics 2019-03-27 Ruggero de Vita , Michele Trenti , Morgan MacLeod

We study the dynamical evolution of idealised stellar systems by averaging results from many $N$-body simulations, each having modest numbers of stars. For isolated systems with stars of uniform mass, we discuss aspects of evolution up to…

Astrophysics · Physics 2015-06-24 Mirek Giersz , Douglas C. Heggie

We present a new iterative method for constructing equilibrium phase models of stellar systems. Importantly, this method can provide phase models with arbitrary mass distributions. The method is based on the following principle. Our task is…

Astrophysics · Physics 2008-11-26 S. A. Rodionov , V. V. Orlov

Star clusters stand at the intersection of much of modern astrophysics: the interstellar medium, gravitational dynamics, stellar evolution, and cosmology. Here we review observations and theoretical models for the formation, evolution, and…

Astrophysics of Galaxies · Physics 2019-09-11 Mark R. Krumholz , Christopher F. McKee , Joss Bland-Hawthorn

We study the motion of stars in a star cluster which revolves in a circular orbit about its parent galaxy. The star cluster is modelled as an ellipsoid of uniform spatial density. We exhibit two 2-parameter families of self-consistent…

Astrophysics · Physics 2008-11-26 David G. M. Mitchell , Douglas C. Heggie

The evolution of star clusters is studied using N-body simulations in which the evolution of single stars and binaries are taken self-consistently into account. Initial conditions are chosen to represent relatively young Galactic open…

Stellar clusters are critical constituents within galaxies: they are the result of highest-density star formation, and through their spatially and temporally correlated feedback they regulate their host galaxy evolution. We present a novel…

Astrophysics of Galaxies · Physics 2024-08-12 Marta Reina-Campos , Oleg Y. Gnedin , Alison Sills , Hui Li

We present a technique for estimating the mass in the outskirts of galaxy clusters where the usual assumption of dynamical equilibrium is not valid. The method assumes that clusters form through hierarchical clustering and requires only…

Astrophysics · Physics 2009-10-31 Antonaldo Diaferio

Using samples of structures identified by a multi-scale decomposition from numerical simulation, we analyze the scale-dependence of the virialization of clusters. We find that beyond the scale of full virialization there exists a radius…

Astrophysics · Physics 2009-10-31 Wen Xu , Li-Zhi Fang , Xiang-Ping Wu

We develop a general theory for estimating the probability that a galaxy cluster of a given shape exists. The theory is based on the observed result that the distribution of galaxies is very close to quasi-equilibrium, in both its linear…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-11 Abel Yang , William C. Saslaw

We investigate the dynamical evolution of star clusters during their formation, assuming that they are born from a turbulent starless clump of a given mass that is embedded within a parent self-gravitating molecular cloud characterized by a…

Astrophysics of Galaxies · Physics 2018-12-26 Juan P. Farias , Jonathan C. Tan , Sourav Chatterjee

We consider the effect of mass segregation on the observable integrated properties of star clusters. The measurable properties depend on a combination of the dynamical age of the cluster and the physical age of the stars in the cluster. To…

Astrophysics · Physics 2009-11-13 Evghenii Gaburov , Mark Gieles

We present the results of a new study of mass segregation in two-component star clusters, based on a large number of numerical N-body simulations using our recently developed dynamical Monte Carlo code. Specifically, we follow the dynamical…

Astrophysics · Physics 2009-11-07 J. M. Fregeau , K. J. Joshi , S. F. Portegies Zwart , F. A. Rasio

We examine the effects of gas-expulsion on initially substructured distributions of stars. We perform N-body simulations of the evolution of these distributions in a static background potential to mimic the gas. We remove the static…

Astrophysics of Galaxies · Physics 2015-04-13 J. P. Farias , R. Smith , M. Fellhauer , S. Goodwin , G. N. Candlish , M. Blaña , R. Dominguez

Stars are often observed to form in clusters. It is therefore important to understand how such a region of concentrated mass is assembled out of the diffuse medium and its properties eventually prescribe the important physical mechanisms…

Astrophysics of Galaxies · Physics 2016-06-08 Yueh-Ning Lee , Patrick Hennebelle