# Heat engine efficiency and Joule-Thomson expansion of non-linear charged AdS black hole in massive gravity

## TL;DR

This paper investigates the thermodynamic behavior of non-linear charged AdS black holes in massive gravity, focusing on heat engine efficiency and Joule-Thomson expansion, revealing how non-linear electrodynamics and massive gravity influence these processes.

## Contribution

It provides analytical expressions for heat engine efficiency and detailed analysis of Joule-Thomson expansion in this black hole model, highlighting the effects of non-linear electrodynamics and massive gravity.

## Key findings

- Derived analytical efficiency expressions for black hole heat engines.
- Mapped isenthalpic curves and inversion temperatures for Joule-Thomson expansion.
- Showed the influence of non-linear electrodynamics and massive gravity on thermodynamic properties.

## Abstract

In this paper, we have considered the heat engine and Joule-Thomson expansion for the charged AdS black hole in the context of the non-linear electrodynamics and massive gravity. For the black hole heat engine, we obtained the analytical expression for the efficiency in terms of either the entropies or the temperatures and pressures in various limits. For the Joule-Thomson expansion of the black hole, we derived the isenthalpic curves in $T-P$ diagram, the Joule-Thomson coefficient, and the inversion curves. We also indicated in detail the effects of the non-linear electrodynamics and massive gravity on the heat engine efficiency and the Joule-Thomson expansion of the black hole.