A closer look at the Barboza-Alcaniz equation of state parametrization

TL;DR

This paper investigates the thermodynamic properties and particle creation implications of the Barboza-Alcaniz equation of state parametrization in cosmology, analyzing its consistency with the second law and equilibrium conditions.

Contribution

It provides a thermodynamic motivation for the q-parametrization of the Barboza-Alcaniz EoS and derives an expression for particle creation rate within this framework.

Findings

The generalized second law of thermodynamics holds for the model.

Thermodynamic equilibrium conditions are analyzed and discussed.

The particle creation rate is consistent with cosmological evolution phases.

Abstract

The Barboza-Alcaniz EoS parametrization has been considered and its $q$-parametrization has been investigated in search for a thermodynamic motivation. For this, we have studied the validity of the generalized second law of thermodynamics as well as the thermodynamic equilibrium considering the cosmological apparent horizon as the boundary. Also, an expression for the particle creation rate has been obtained in terms of $q$ assuming an adiabatic particle creation scenario and its behavior has been studied for consistency during various phases of evolution of the Universe as suggested by various thermodynamic arguments found in the literature.