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High density clusters can be characterized by the connected components of a level set $L(\lambda) = \{x:\ p(x)>\lambda\}$ of the underlying probability density function $p$ generating the data, at some appropriate level $\lambda\geq 0$. The…

Machine Learning · Statistics 2010-11-15 Alessandro Rinaldo , Aarti Singh , Rebecca Nugent , Larry Wasserman

The binding energies of n < 100 carbon clusters are calculated using the ab-initio density functional theory code Quantum Espresso. Carbon cluster geometries are determined using several levels of classical techniques and further refined…

Solar and Stellar Astrophysics · Physics 2015-06-23 Christopher Mauney , Marco Buongiorno Nardelli , Davide Lazzati

We review many of the basic properties of star cluster systems, and focus in particular on how they relate to their host galaxy properties and ambient environment. The cluster mass and luminosity functions are well approximated by…

Astrophysics of Galaxies · Physics 2015-11-30 Angela Adamo , Nate Bastian

We propose a new cosmological test of gravity, by using the observed mass fraction of X-ray emitting gas in massive galaxy clusters. The cluster gas fraction, believed to be a fair sample of the average baryon fraction in the Universe, is a…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-23 Baojiu Li , Jian-hua He , Liang Gao

Persistence is considered in diffusion--limited cluster--cluster aggregation, in one dimension and when the diffusion coefficient of a cluster depends on its size $s$ as $D(s) \sim s^\gamma$. The empty and filled site persistences are…

Statistical Mechanics · Physics 2016-08-16 E. K. O. Hellén , M. J. Alava

Motivated by contradicting reports in the literature, we have investigated the structural stability of tungsten nanoparticles using density functional theory calculations. The comparison of BCC, FCC, A15, disordered, and icosahedral…

Materials Science · Physics 2024-04-08 Laurent Pizzagalli , Sandrine Brochard , Julien Godet , Julien Durinck

We present a new implementation of star formation in cosmological simulations, by considering star clusters as a unit of star formation. Cluster particles grow in mass over several million years at the rate determined by local gas…

Astrophysics of Galaxies · Physics 2017-01-11 Hui Li , Oleg Y. Gnedin , Nickolay Y. Gnedin , Xi Meng , Vadim A. Semenov , Andrey V. Kravtsov

The thermochemistry of the carbon clusters C$_n$ (n=2--10) has been revisited by means of W4 theory and W3.2lite theory. Particularly the larger clusters exhibit very pronounced post-CCSD(T) correlation effects. Despite this, our best…

Chemical Physics · Physics 2010-08-26 Amir Karton , Alex Tarnopolsky , Jan M. L. Martin

The atomic structure, mechanical and thermodynamic stability of vacancy clusters in Cu are studied by atomistic simulations. The most stable atomic configuration of small vacancy clusters is determined. The mechanical stability of the…

Materials Science · Physics 2011-05-20 Qing Peng , Xu Zhang , Gang Lu

The appearance of nuclear clusters in stellar matter at densities below nuclear saturation is an important feature in the modeling of the equation of state for astrophysical applications. There are different theoretical concepts to describe…

Nuclear Theory · Physics 2016-12-22 Helena Pais , Stefan Typel

How stellar clusters disrupt, and over what timescales, is intimately linked with how they form. Here, we review the theory and observations of cluster disruption, both the suggested initial rapid dissolution phase (infant mortality) and…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-13 Nate Bastian

We use very large cosmological N--body simulations to obtain accurate predictions for the two-point correlations and power spectra of mass-limited samples of galaxy clusters. We consider two currently popular cold dark matter (CDM)…

[Abridged] The analysis of a sample of 52 clusters with precise and hypothesis-parsimonious measurements of mass shows that low mass clusters and groups are not simple scaled-down versions of their massive cousins in terms of stellar…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 S. Andreon

By virtue of their high galaxy space densities and their large spatial separations, clusters are efficient and accurate tracers of the large-scale density and velocity fields. Substantial progress has been made over the past decade in the…

Astrophysics · Physics 2007-05-23 Marc Postman

A novel and intuitive nearest neighbours based clustering algorithm is introduced, in which a cluster is defined in terms of an equilibrium condition which balances its size and cohesiveness. The formulation of the equilibrium condition…

Machine Learning · Computer Science 2025-03-31 David P. Hofmeyr

Currently clusters/associations of stars are mainly detected as surface density enhancements relative to the background field. While clusters form, their surface density increases. It likely decreases again at the end of the star formation…

Astrophysics of Galaxies · Physics 2015-06-23 Susanne Pfalzner , Kirsten Vincke , Mai Xiang

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

The exponential sensitivity of cluster number counts to the properties of the dark energy implies a comparable sensitivity to not only the mean but also the actual_distribution_ of an observable mass proxy given the true cluster mass. For…

Astrophysics · Physics 2011-05-12 Marcos Lima , Wayne Hu

Cluster number counts offer sensitive probes of the dark energy if and only if the_evolution_ of the cluster mass versus observable relation(s) is well calibrated. We investigate the potential for internal calibration by demanding…

Astrophysics · Physics 2011-05-12 Wayne Hu

We investigate the influence of morphology and size on the vibrational properties of disordered clusters of colloidal particles with attractive interactions. From measurements of displacement correlations between particles in each cluster,…

Soft Condensed Matter · Physics 2015-05-27 Peter J. Yunker , Ke Chen , Zexin Zhang , Arjun G. Yodh