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Clustering of galaxies in brane world models

2015/06/30 by Mir Hameeda, Mir Faizal, Ahmed Farag Ali · 23 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Brane #Cluster analysis #Entropy (arrow of time) #Galaxy #Newtonian fluid #Newtonian potential #Partition function (quantum field theory) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #gr-qc

paper · pdf · doi:10.1007/s10714-016-2049-y

published in General Relativity and Gravitation 48(4) (Springer Science+Business Media) · 12 pages, revtex4, 2 figures, To appear in General Relativity and Gravitation

arxiv created 2016/03/16 · openalex publication_date 2016/03/24 · arxiv updated 2016/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 galaxies interacting with each other through this modified Newtonian potential. The partition function for this system of galaxies will be calculated, and this partition function will be used to calculate the free energy of this system of galaxies. The entropy and the chemical potential for this system will also be calculated. We will derive explicit expression for the clustering parameter for this system. This parameter will determine the behavior of this system, and we will be able to express various thermodynamic quantities using this clustering parameter. Thus, we will be able to explicitly analyze the effect that modifying the Newtonian potential can have on the clustering of galaxies. We also analyze the effect of extra dimensions on the two-point functions between galaxies.

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