2017/02/27 by Sudhaker Upadhyay · 21 citations
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Canonical ensemble #Classical mechanics #Correlation function (quantum field theory) #Cosmological constant #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gravitation #Gravitational potential #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Quantum mechanics #Statistical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.95.043008
published in Physical review. D/Physical review. D. 95(4) (American Physical Society) · 13 pages, 4 figures, revtex4
openalex publication_date 2017/02/27 · arxiv created 2017/03/17 · arxiv updated 2017/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 cosmological constant (\mathrm\ensuremathΛ) in the formation of the large scale structure of the Universe. We derive the N-body partition function for extended-mass galaxies (galaxies with halos) analytically. For this partition function, we compute the exact equations of states, which exhibit the logarithmic, volume, and cosmological constant corrections. In this setting, a modified correlation (clustering) parameter (due to these corrections) emerges naturally from the exact equations of state. We compute a corrected grand canonical distribution function for this system. Furthermore, we obtain a deviation in differential forms of the two-point correlation functions for both the point-mass and extended-mass cases. The consequences of these deviations on the correlation function's power law are also discussed.