Interaction of polytropic dark energy in cosmological model: Constraints from observational data

TL;DR

This paper explores an interacting polytropic dark energy model constrained by observational data, showing it can explain late-time cosmic acceleration with parameters consistent with current cosmological observations.

Contribution

It introduces a novel interacting PDE model with observational constraints, demonstrating its viability in explaining cosmic acceleration and the universe's age.

Findings

Model fits observational data well

Dark energy exhibits negative pressure and quintessence behavior

Universe's age estimated at 14 Gyr

Abstract

We investigate an interacting polytropic dark energy (PDE) model characterised by the equation of state $p_{d} = \alpha \rho_{d}^{\,1+\frac{1}{\beta}}$, where the interaction between dark energy and pressureless matter is modelled via a linear coupling term $Q = 3\eta H\rho_{d}$. The background dynamics are formulated by deriving the Hubble parameter in the interacting scenario, and the model parameters are constrained through a Markov Chain Monte Carlo (MCMC) analysis using three joint observational data sets: Hubble77+BAO26, Hubble77+Pantheon$^+$, and Hubble77+BAO26+DESI DR2. The resulting best-fit values of $(H_0, \Omega_{d0}, \eta) $ are $(69.22^{+1.27}_{-1.24},\,0.73^{+0.02}_{-0.02},\,-0.22^{+0.10}_{-0.12})$, $(69.23^{+1.27}_{-1.22},\,0.73^{+0.02}_{-0.02},\,-0.34^{+0.15}_{-0.17})$, and $(67.77^{+1.26}_{-1.24},\,0.73^{+0.02}_{-0.02},\,\\-0.02^{+0.10}_{-0.11})$ respectively for the respective data combinations. Our results indicate a positive energy density and negative pressure over the full redshift range, with the evolution of the equation-of-state parameter and state finder parameters placing the model firmly within the Quintessence regime. The study of the deceleration parameter also reveals a shift from a decelerating to an accelerating cosmic expansion. The estimated present age of the Universe is $14\,\mathrm{Gyr}$, consistent with recent observational data. Furthermore, the sign of $Q$ implies a current energy transfer from dark energy to matter. These findings support the interacting PDE framework as a viable candidate for explaining late-time cosmic acceleration and related large-scale dynamics.