Joule-Thomson Expansion of RN-AdS Black Holes in $f(R)$ gravity

TL;DR

This paper explores the Joule-Thomson expansion in charged AdS black holes within $f(R)$ gravity, analyzing inversion temperatures, curves, and the effects of black hole parameters on cooling and heating regions.

Contribution

It introduces the study of Joule-Thomson effects in $f(R)$ gravity black holes, deriving inversion temperatures and analyzing parameter influences, which is a novel extension of black hole thermodynamics.

Findings

Inversion temperatures and curves are obtained for charged AdS black holes in $f(R)$ gravity.

The position of the inversion point depends on mass, charge, and the parameter $b$.

Cooling and heating regions are identified based on the sign of the Joule-Thomson coefficient.

Abstract

In this paper, we study Joule-Thomson effects for charged AdS black holes in $f(R)$ gravity. We obtain the inversion temperatures as well as inversion curves, and investigate similarities and differences between van der Waals fluids and charged AdS black holes in $f(R)$ gravity for this expansion. In addition, we determine the position of the inversion point versus different values of the mass $M$, the charge $Q$ and the parameter $b$ for such black hole. At this point, the Joule-Thomson coefficient $\mu$ vanishes, an import feature that we used to obtain the cooling-heating regions by scrutinizing the sign of the $\mu$ quantity.