Configurational Entropy in Chaplygin Gas Models

TL;DR

This study explores how different Chaplygin gas models influence the evolution of cosmic structures and entropy, showing certain parameter choices can make these models consistent with current observations of the universe's accelerated expansion.

Contribution

It introduces a detailed analysis of the configurational entropy dissipation in Chaplygin gas models using the Linder parametrization, highlighting parameter effects on cosmic evolution.

Findings

Configurational entropy rate depends on model parameters.

Certain parameter combinations lead to viable entropy dissipation.

Models can match observational constraints on universe's transition to acceleration.

Abstract

The present work employs the Linder parametrization of a constant growth index \cite{linder/index} to investigate the evolution of growth rate of clustering and the dissipation of configurational entropy in some of the most widely studied Chaplygin gas models, such as the generalized Chaplygin gas and the modified Chaplygin gas. The model parameters of the Chaplygin gas models are found to play a vital role in the evolution of growth rate, dark energy density parameter, EoS parameter, and configurational entropy. Furthermore, the work communicates the rate of change of configurational entropy to attain a minimum which depend solely on the choice of model parameters and that there exist suitable parameter combinations giving rise to a viable dissipation of configurational entropy, and therefore certifying its time derivative to hit a minimum at a scale factor which complies with the current observational constraints on the redshift of transition from a dust to an accelerated Universe and thereby making Chaplygin gas models a viable candidate for dark energy.