# Joule-Thomson expansion of charged AdS black holes in Rainbow gravity

## TL;DR

This paper explores the Joule-Thomson expansion of charged AdS black holes within rainbow gravity, deriving analytical expressions for key thermodynamic quantities and analyzing their behavior numerically.

## Contribution

It provides the first analytical derivation of Joule-Thomson coefficient and inversion temperature for charged AdS black holes in rainbow gravity.

## Key findings

- Derived exact formulas for Joule-Thomson coefficient and inversion temperature.
- Numerical analysis of isenthalpic and inversion curves.
- Explored effects of rainbow gravity parameters on black hole thermodynamics.

## Abstract

In this letter we investigate the throttling process of the charged Anti-de Sitter (AdS) black holes in the rainbow gravity. In the extended phase space of these black holes, the cosmological constant plays the role of a varying thermodynamic pressure and the black hole mass is identified with the thermodynamic enthalpy. We derive exact expressions for the Joule-Thomson coefficient and the inversion temperature in terms of black hole parameters and constants of rainbow gravity analytically, and then perform a numerical analysis for the isenthalpic and inversion curves of charged AdS black holes. We will consider the isenthalpic curves for different values of the black hole mass.