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The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the nonlinear clustering in terms of three well defined regimes:…

Astrophysics · Physics 2016-06-08 T. Padmanabhan

We study the mass density distribution of Newtonian self-gravitating systems. Modeling the system as a fluid in hydrostatical equilibrium, we obtain from first principle the field equation and its solution of correlation function $\xi(r)$…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Yang Zhang , Qing Chen

In this paper, we analyse the effect of the expansion of the universe on the clustering of galaxies. We evaluate the configurational integral for interacting system of galaxies in an expanding universe by including effects produced by the…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Mir Hameeda , Sudhaker Upadhyay , Mir Faizal , Ahmed Farag Ali

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

In this paper, we will study the large scale structure formation using the gravitational partition function. We will assertively argue that the system of gravitating galaxies can be analyzed using the Tsallis statistical mechanics. The…

General Relativity and Quantum Cosmology · Physics 2021-05-13 Mir Hameeda , Behnam Pourhassan , Mario C. Rocca , Mir Faizal

Geometrical model of structure of the universe is examined to obtain analytical expression for the two points nonlinear correlation function. According to the model the objects (galaxies) are concentrated into two types of structure…

Astrophysics · Physics 2007-05-23 O. Buryak , A. Doroshkevich

We show that if a sample of galaxy clusters is complete above some mass threshold, then hierarchical clustering theories for structure formation predict its autocorrelation function to be determined purely by the cluster abundance and by…

Astrophysics · Physics 2015-06-24 H. J. Mo , Y. P. Jing , S. D. M. White

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

The evolution of two-point space correlation function of QSOs is analyzed in the framework of the theory of the large scale structure formation. For given cosmological models the agreement between theoretical predictions and observational…

Astrophysics · Physics 2007-05-23 Yu. Chornij , B. Novosyadlyj

The mass function of galaxies and clusters of galaxies can be derived observationally based on different types of observations. In this study we test if these observations can be combined to a consistent picture which is also in accord with…

Astrophysics of Galaxies · Physics 2019-10-24 Masataka Fukugita , Hans Böhringer

In the first part of this article, we review observations of the mass and luminosity functions of young and old star cluster systems. We also review some of the physical processes that may determine the characteristic mass of globular…

Astrophysics · Physics 2007-05-23 S. Michael Fall , Qing Zhang

The 2-point spatial correlation function (CF), $\xi(s)$, has been used to study the clustering of the galaxies in the preliminary version of the HIPASS Bright Galaxy Catalogue (HIPASS BGC), which includes the 1,000 HI brightest galaxies in…

Astrophysics · Physics 2007-05-23 S. Tantisrisuk , R. Webster

We study galaxy correlations from samples extracted from the 2dFGRS final release. Statistical properties are characterized by studying the nearest neighbor probability density, the conditional density and the reduced two-point correlation…

Astrophysics · Physics 2009-11-11 N. L. Vasilyev , Yu. V. Baryshev , F. Sylos Labini

In this paper, we discuss improvements of the Suto et al. (2000) model, in the light of recent theoretical developments (new theoretical mass functions, a more accurate mass-temperature relation and an improved bias model) to predict the…

Astrophysics · Physics 2009-11-23 A. Del Popolo , N. Ercan , S. Yesilyurt

We study the correlation between the morphological mix of cluster galaxies and the assembly history of the parent cluster by taking advantage of two independently developed semi-analytic models for galaxy formation and evolution. In our…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Gabriella De Lucia , Fabio Fontanot , Dave Wilman

We present an in-depth investigation of galaxy clustering based on a new suite of realistic large-box galaxy-formation simulations in $f(R)$ gravity, with a subgrid physics model that has been recalibrated to reproduce various observed…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 Michael Collier , Sownak Bose , Baojiu Li

The clustering properties of dark matter halos are a firm prediction of modern theories of structure formation. We use two large volume, high-resolution N-body simulations to study how the correlation function of massive dark matter halos…

Astrophysics · Physics 2008-11-26 Andrew R. Wetzel , J. D. Cohn , Martin White , Daniel E. Holz , Michael S. Warren

We study the evolution of the galactic globular cluster system to determine its initial mass-function and the fraction of halo stars that could have come from disrupted globular clusters. We study the cluster evolution under the influence…

Astrophysics · Physics 2007-05-23 H. Baumgardt

The angular cross-correlation between two galaxy samples separated in redshift is shown to be a useful measure of weak lensing by large-scale structure. Angular correlations in faint galaxies arise due to spatial clustering of the galaxies…

Astrophysics · Physics 2020-11-25 R. Moessner , Bhuvnesh Jain

We investigate the phenomenon of clustering of galaxies in an expanding universe by applying the fluctuation theory. We evaluate the fluctuation moments for the number of particles and the correlated fluctuations for number and energy of…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-07 M. S. Khan , M. H. Abdullah , Shah Zahir , Farooq Owais , Azmat Khan