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We estimate galaxy clustering under a modified gravitational potential. In particular, the modifications in gravitational potential energy occur due to a power-law and cosmological constant terms. We derive a canonical partition function…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Abdul W. Khanday , Sudhaker Upadhyay , Prince A. Ganai

Based on thermodynamics, we study the galactic clustering of an expanding Universe by considering the logarithmic and volume (quantum) corrections to Newton's law along with the repulsive effect of a harmonic force induced by the…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Sudhaker Upadhyay

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

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

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

We study the effect of nonfactorizable background geometry on the thermodynamics of the clustering of galaxies. A canonical partition function is derived for the gravitating system of galaxies treated as point particles contained in cells…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Abdul W. Khanday , Sudhaker Upadhyay , Hilal A. Bagat , Prince A. Ganai

In this paper, we analyze the clustering of galaxies using a modified theory of gravity, in which the field content of general relativity has been be increased. This increasing in the field content of general relativity changes the large…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Mir Hameeda , Behnam Pourhassan , Mir Faizal , C. P. Masroor , Rizwan Ul Haq Ansari , P. K. Suresh

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

Effects from nonstandard corrections to Newtonian gravity, at large scale, can be investigated using the cosmological structure formation. In particular, it is possible to show if and how a logarithmic correction (as that induced from…

General Relativity and Quantum Cosmology · Physics 2021-07-29 Salvatore Capozziello , Mir Faizal , Mir Hameeda , Behnam Pourhassan , Vincenzo Salzano

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

We study the statistical mechanics of binary systems under gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems, in the microcanonical and canonical ensembles, we…

Statistical Mechanics · Physics 2021-09-15 Mohammad H. Zhoolideh Haghighi , Sohrab Rahvar , M Reza Rahimi Tabar

In this paper, we analyze the clustering of galaxies using a modified Newtonian potential. This modification of the Newtonian potential occurs due to the existence of extra dimensions in brane world models. We will analyze a system of…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Mir Hameeda , Mir Faizal , Ahmed Farag Ali

The topic of this conference is ``The Chaotic Universe''. One of the main achievements of last century has been to relate chaos in fluids to their thermodynamics. It is our purpose to make connection between chaos in gravitation and…

Statistical Mechanics · Physics 2018-03-28 Theo M. Nieuwenhuizen

We exploit a new theory of gravity proposed by Finzi, which gives stronger interaction at large scales, to study the thermodynamic description of galaxy clusters. We employ a statistical model to deduce various thermodynamics equations of…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Abdul W. Khanday , Sudhaker Upadhyay , Naseer Iqbal , Prince A. Ganai

Observations show that (i) multiple gas phases can coexist in the atmospheres of galaxies and clusters; (ii) these atmospheres may be significantly rotating in the inner parts, with typical velocities that approach or even exceed the local…

Astrophysics of Galaxies · Physics 2019-03-27 Emanuele Sobacchi , Mattia Sormani

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

We investigate the statistical equilibrium properties of a system of classical particles interacting via Newtonian gravity, enclosed in a three-dimensional spherical volume. Within a mean-field approximation, we derive an equation for the…

Statistical Mechanics · Physics 2014-10-13 E. V. Votyakov , A. De Martino , D. H. E. Gross

Unopposed radiative cooling in clusters of galaxies results in excessive mass deposition rates. However, the cool cores of galaxy clusters are continuously heated by thermal conduction and turbulent heat diffusion due to minor mergers or…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 M. Ruszkowski , S. Peng Oh

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

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
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