Thermodynamics of galaxy clusters in modified Newtonian potential

Abstract

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 integral while accounting for the extended nature of galaxies (via the inclusion of the softening parameter $\epsilon$ into the potential energy function). This softening parameter takes care of the galaxy-halos whose effect on structuring the shape of the galactic disc has been found recently. The spatial distribution of the particles (galaxies) is also studied in this framework. A comparison of the new clustering parameter $b_{+}$ to the original clustering parameters is presented in order to visualize the effect of the modified gravity. We also discuss the possibility of system symmetry breaking via the behavior of the specific heat as a function of temperature.

arXiv comment18 pages, 9 captioned figures, published in Physica Scripta

References in corpus (16)

• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• A catalog of 132,684 clusters of galaxies identified from Sloan Digital Sky Survey III
• The size - virial radius relation of galaxies
• Cosmological Tests of Gravity
• Clustering of Galaxies with f(R) gravity
• Hubble tension vs two flows
• Effects of Cosmological Constant on Clustering of Galaxies
• Clustering of Galaxies with Dynamical Dark Energy
• Messier 81's Planck view vs its halo mapping
• Thermodynamics and galactic clustering with a modified gravitational potential
• Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies
• Finite Tsallis Gravitational Partition Function for a System of Galaxies
• Galactic Clustering Under Power-law Modified Newtonian Potential
• Logarithmic corrections to Newtonian gravity and Large Scale Structure
• The large scale structure formation in an expanding universe
• Gravitational partition function modified by super-light brane world perturbative modes

Cited by in corpus (3)

• Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
• Study of the large scale structure through modified gravity theory using statistical mechanics
• Statistical description of galaxy clusters in Finzi model of gravity