Clustering of Galaxies with Dynamical Dark Energy

Abstract

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 produced by the varying $\Lambda$. The gravitational partition function is obtained using this configuration integral. We obtain thermodynamics quantities in canonical ensemble which depend on time and investigate the second law of thermodynamics. We also calculate the distribution function in grand canonical ensemble. The time evolution of the clustering parameter of galaxies is investigated for the time dependent (dynamical) dark energy. We conclude that the second law of thermodynamics is valid for the total system of cluster of galaxies and dynamical dark energy. We calculate correlation function and show that our model is very close to Peebles's power law, in agreement with the N-body simulation. It is observed that thermodynamics quantities depend on the modified clustering parameter for this system of galaxies.

8 pages, 15 figures

References in corpus (6)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• FRW Bulk Viscous Cosmology with Modified Chaplygin Gas in Flat Space
• Cosmic coincidence problem and variable constants of physics
• Effects of Cosmological Constant on Clustering of Galaxies
• Generalizing the Cosmic Energy Equation

Cited by in corpus (15)

• Clustering of Galaxies with f(R) gravity
• Large Distance Modification of Newtonian Potential and Structure Formation in Universe
• Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies
• Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity
• Finite Tsallis Gravitational Partition Function for a System of Galaxies
• Two approaches that prove divergence free nature of non-local gravity
• 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
• Thermodynamics of galaxy clusters in modified Newtonian potential
• Gravitational partition function modified by super-light brane world perturbative modes
• Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
• Time dependent dark energy and the thermodynamics of many-body systems
• Study of the large scale structure through modified gravity theory using statistical mechanics
• Statistical description of galaxy clusters in Finzi model of gravity