Joule-Thomson effect and Efficiency of deformed AdS-Schwarzschild black hole in presence of quintessence

TL;DR

This paper investigates how geometric deformation and quintessence influence the thermodynamics and efficiency of a modified AdS-Schwarzschild black hole, revealing parameter-dependent shifts in thermal behavior and heat-engine performance.

Contribution

It introduces a detailed analysis of the effects of deformation and quintessence parameters on black hole thermodynamics and efficiency, highlighting their combined impact.

Findings

Deformation parameter α shifts the temperature minimum and enlarges cooling regions.

Higher β and σ parameters raise the inversion temperature and reduce efficiency.

α enhances black hole thermodynamic stability and heat-engine efficiency.

Abstract

We study the Joule-Thomson expansion and extended thermodynamics of a modified black hole characterised by the parameters $\alpha$, $\beta$, and $\sigma$. Analysis of the Hawking temperature, Joule-Thomson coefficient, inversion curves, and isenthalpic trajectories shows that these parameters significantly modify the heating-cooling behaviour and thermal stability of the system. The deformation parameter $\alpha$ and control parameter $\beta$ shift the temperature minimum, enlarge the cooling region, and raise the inversion temperature, while $\sigma$ produces a weaker but consistent influence. The heat-engine analysis reveals that $\alpha$ enhances efficiency, whereas higher $\beta$ and $\sigma$ reduce it. Overall, the results demonstrate that geometric deformation and quintessence jointly govern the unified thermodynamic structure of the black hole.