Joule-Thomson effect of AdS black holes in conformal gravity

TL;DR

This paper explores the Joule-Thomson effect in AdS black holes within conformal gravity, deriving the coefficient through multiple methods, analyzing inversion temperatures, and identifying conditions for heating and cooling phases.

Contribution

It introduces a novel isenthalpic process and provides a detailed analysis of inversion temperatures and curves in the context of conformal gravity black holes.

Findings

Joule-Thomson coefficients from two methods are consistent.

Inversion temperature separates heating and cooling phases.

Parameters significantly influence inversion curves.

Abstract

We investigate the Joule-Thomson effect of AdS black holes in conformal gravity. We derive the Joule-Thomson coefficient in terms of thermodynamic relations and then make an alternative derivation via a direct way. We analyze the Joule-Thomson coefficient and find that the Joule-Thomson coefficients obtained from two different approaches are equal. Moreover, we present a novel isenthalpic process in which the inversion temperature is minimal and it separates the corresponding heating-cooling phase. We analyze the inversion temperature and its corresponding inversion curve that separates the regions for the JT effect to be allowable and forbidden, where such an effect can only be observed in the allowable region. We also discuss the effects of two important parameters on the inversion curves.