# Regular Bardeen AdS Black Hole as a Heat Engine

## TL;DR

This paper explores the thermodynamic phase transitions and heat engine efficiency of regular Bardeen AdS black holes, analyzing how quintessence dark energy influences their thermodynamic behavior and efficiency.

## Contribution

It introduces a detailed analysis of phase transitions and derives an analytical expression for heat engine efficiency including quintessence dark energy effects.

## Key findings

- First order phase transition identified
- Efficiency improved with quintessence field
- Analytical efficiency expression derived

## Abstract

We investigate the thermodynamic phase transitions and heat engine efficiency in regular Bardeen AdS black hole. Interpreting cosmological constant as thermodynamic pressure, we study the thermodynamics using T S and P v plots. Specific heat studies also carried out in detail. A first order phase transition in evident from these studies. These are followed by the construction of a heat engine considering the black hole as working substance. The efficiency is obtained via a thermodynamic cycle in the P V plane which receives and ejects heat. The heat engine efficiency is improved by adding a quintessence field. The analytical expression for heat engine efficiency is derived in terms of quintessence dark energy parameter. This result may deepen our understanding about thermodynamics of asymptotically AdS black holes.