# Joule-Thomson expansion for the regular(Bardeen)-AdS black hole

## TL;DR

This paper explores the Joule-Thomson expansion in the context of Bardeen-AdS black holes, revealing unique inversion temperature behaviors and ratios that differ from singular black holes, indicating underlying regular black hole properties.

## Contribution

It provides the first detailed analysis of Joule-Thomson expansion and inversion curves for regular Bardeen-AdS black holes in extended phase space.

## Key findings

- Inversion curve is not closed and has only a lower branch.
- The ratio of minimum inversion to critical temperature is 0.536622, larger than for singular black holes.
- The regular black hole's properties may be influenced by a repulsive de Sitter core.

## Abstract

In this paper, we attempt to study the Joule-Thomson expansion for the regular black hole in an anti-de Sitter background, and obtain the inversion temperature and curve for the Bardeen-AdS black hole in the extended phase space. We investigate the isenthalpic and inversion curves for the Bardeen-AdS black hole in the T-P plane to find the intersection points between them are exactly the inversion points discriminating the heating process from the cooling one. And, the inversion curve for the regular(Bardeen)-AdS black hole is not closed and there is only a lower inversion curve in contrast with that of the Van der Walls fluid. Most importantly, we find the ratio between the minimum inversion and critical temperature for the regular(Bardeen)-AdS black hole is 0.536622, which is always larger than all the already-known ratios for the singular black hole. This larger ratio for the Bardeen-AdS black hole in contrast with the singular black hole may stem from the fact that there is a repulsive de Sitter core near the origin of the regular black hole.