Joule-Thomson expansion for quantum corrected AdS-Reissner-Nordstr\"om black holes in Kiselev spacetime with Barrow fractal entropy

TL;DR

This paper explores how fractal geometry effects, introduced via Barrow entropy, influence the Joule-Thomson expansion and inversion temperature of AdS-Reissner-Nordstr"om black holes in Kiselev spacetime, using numerical analysis.

Contribution

It investigates the impact of the fractal parameter on black hole thermodynamics, specifically on Joule-Thomson expansion and inversion temperature, extending previous entropy models.

Findings

Fractal parameter $ riangle$ significantly affects inversion temperature.

Temperature-pressure curves vary with different fractal parameters.

Isenthalpic curves are analyzed for fixed-mass black hole processes.

Abstract

Recently, Barrow proposed an extension of the Bekenstein-Hawking black hole entropy to include the effects of fractal geometry through a parameter $\Delta$. Since then, several interesting issues related to this extended entropy have been explored in the literature. In this work, we investigate the effects of the fractal parameter $\Delta$ on the inversion temperature connected to the Joule-Thomson expansion that can be obtained from the thermodynamics of AdS-Reissner-Nordstr\"om black holes in Kiselev spacetime. The description of such physical systems involves numerical solutions concerning the fractal parameter $\Delta$. The results are shown by temperature-pressure curves for multiple values of the set of parameters that define the black hole thermodynamics. In conclusion of our analysis, we also show isenthalpic curves corresponding to fixed-mass black hole processes.