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We study the thermodynamics of galaxy clusters in a modified Newtonian potential motivated by a general solution to Newton's "sphere-point" equivalence theorem. We obtain the $N$ particle partition function by evaluating the configurational…

Astrophysics of Galaxies · Physics 2021-12-16 Abdul W. Khanday , Sudhaker Upadhyay , Prince A. Ganai

We study the thermodynamics of galactic clustering under the higher-order corrected Newtonian dynamics. The clustering of galaxies is considered as a gravitational phase transition. In order to study the effects of higher-order correction…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Sudhaker Upadhyay , Behnam Pourhassan , Salvatore Capozziello

We discuss the galaxy clustering based on thermodynamics and statistical mechanics in the expanding universe in a modified theory of gravity. The modified general relativity (MGR) is developed using the regular line element field to…

General Physics · Physics 2023-02-15 Abdul W. Khanday , Sudhaker Upadhyay , Prince A. Ganai

We present a thermodynamic theory for a generic population of $M$ individuals distributed into $N$ groups (clusters). We construct the ensemble of all distributions with fixed $M$ and $N$, introduce a selection functional that embodies the…

Populations and Evolution · Quantitative Biology 2014-08-19 Themis Matsoukas

If the accelerated expansion of the universe is due to a modification of general relativity at late times, it is likely that the growth of structure on large scales would also display deviations from the standard cosmology. We investigate…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-27 Marcell Howard , Arthur Kosowsky , Georgios Valogiannis

Thermodynamics of clusterized matter is studied in the framework of statistical models with non-interacting cluster degrees of freedom. At variance with the analytical Fisher model, exact Metropolis simulation results indicate that the…

Nuclear Theory · Physics 2009-09-01 Ad. R. Raduta , F. Gulminelli

This work is devoted to the thermodynamics of gravitational clustering, a collective phenomenon with a great relevance in the $N$-body cosmological problem. We study a classical self-gravitating gas of identical non-relativistic particles…

Statistical Mechanics · Physics 2016-11-03 F. Tello-Ortiz , L. Velazquez

While the universe becomes more and more homogeneous at large scales, statistical analysis of galaxy catalogs have revealed a fractal structure at small-scales (\lambda < 100 h^{-1} Mpc), with a fractal dimension D=1.5-2 (Sylos Labini et al…

Astrophysics · Physics 2010-11-30 H. J. de Vega , N. Sánchez , F. Combes

Based on thermodynamics, we discuss the galactic clustering of expanding Universe by assuming the gravitational interaction through the modified Newton's potential given by $f(R)$ gravity. We compute the corrected $N$-particle partition…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-22 Salvatore Capozziello , Mir Faizal , Mir Hameeda , Behnam Pourhassan , Vincenzo Salzano , Sudhaker Upadhyay

The mass fraction of hot gas in clusters is a basic quantity whose level and dependence on the cluster mass and redshift are intimately linked to all cluster X-ray and SZ measures. Modeling the evolution of the gas fraction is clearly a…

Astrophysics of Galaxies · Physics 2015-06-22 Irina Dvorkin , Yoel Rephaeli

This pedagogical review of galaxy cluster simulations is based on three lectures given at the 2008 Enrico Fermi Summer School entitled "Astrophysics of Galaxy Clusters". It covers the standard cosmological framework, growth of perturbations…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-10 Michael L. Norman

In this paper, we study thermodynamics of the cluster of galaxies under the effect of dynamical dark energy. We evaluate the configurational integral for interacting system of galaxies in an expanding universe by including the effects…

General Relativity and Quantum Cosmology · Physics 2017-04-21 Behnam Pourhassan , Sudhaker Upadhyay , Mir Hameeda , Mir Faizal

We review the theory of the formation of galaxy clusters and discuss their role as cosmological probes. We begin with the standard cosmological framework where we discuss the origin of the CDM matter power spectrum and the growth of density…

Astrophysics · Physics 2007-05-23 Michael L. Norman

We use the Millennium Simulation, a 10 billion particle simulation of the growth of cosmic structure, to construct a new model of galaxy clustering. We adopt a methodology that falls midway between the traditional semi-analytic approach and…

Astrophysics · Physics 2009-11-11 Lan Wang , Cheng Li , Guinevere Kauffmann , Gabriella De Lucia

The thermodynamic behaviour of self-gravitating $N$-body systems has been worked out by borrowing a standard method from Molecular Dynamics: the time averages of suitable quantities are numerically computed along the dynamical trajectories…

Astrophysics · Physics 2009-11-06 Monica Cerruti-Sola , Piero Cipriani , Marco Pettini

In this review, we describe our current understanding of cluster formation: from the general picture of collapse from initial density fluctuations in an expanding Universe to detailed simulations of cluster formation including the effects…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Andrey Kravtsov , Stefano Borgani

The comparison between observations of galaxy clusters thermo-dynamical properties and theoretical predictions suggests that non-gravitational heating needs to be added into the models. We implement an internally self-consistent heating…

Astrophysics · Physics 2015-06-24 L. Gazzola , F. R. Pearce

The formation process, properties, and spatial distribution of galaxy groups and clusters are closely related to the background cosmological model. We use numerical simulations of variants of the CDM model with different cosmological…

Astrophysics · Physics 2007-05-23 Alexander Knebe

The distribution of mass in the halos of galaxies and galaxy clusters has been probed observationally, theoretically, and in numerical simulations. Yet there is still confusion about which of several suggested parameterized models is the…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-11 Ole Host , Steen H. Hansen

The thermal and phase properties of a multifragmentation model which uses clusters as degrees of freedom, are explored as a function of isospin. A good qualitative agreement is found with the phase diagram of asymmetric nuclear matter as…

Nuclear Theory · Physics 2008-11-26 Ad. R. Raduta , F. Gulminelli
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