https://doi.org/10.1140/epjp/s13360-024-05258-0
Regular Article
Thermal Aspects and Joule–Thomson Expansion of ModMax Black Hole
1
Department of Mathematics, Bahauddin Zakariya University, Vehari Campus, 61100, Vehari, Pakistan
2
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
3
Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China
4
Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
5
Department of Mathematics and Statistics, University of South Florida, 33620-5700, Tampa, FL, USA
6
Material Science Innovation and Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, 2735, Mmabatho, South Africa
Received:
21
December
2023
Accepted:
8
May
2024
Published online:
29
May
2024
This paper analyzes the thermal characteristics and Joule–Thomson adiabatic expansion of the AdS ModMax black hole immersed with a nonlinear electrodynamic field. The obtained solution of the AdS ModMax black hole is employed to evaluate thermodynamic variables, e.g., geometric mass, black hole temperature, entropy, heat capacity, and free energy. The study of the equation of state and the extended phase space shows rich phase behavior, especially in P–V criticality, exhibiting first and second-order phase transitions. The critical points reveals the critical exponents, demonstrating that critical behavior explains the universal characteristics. The effect of coupling parameter and thermal comparative analysis of AdS ModMax black hole with well-known black holes is also present. The process of Joule–Thomson adiabatic expansion of AdS ModMax black hole also investigated to obtain the inversion and isenthalpic curves. The cooling and heating phase transitions occur by diminishing the Joule–Thomson coefficient. Finally, we calculate the ratio of minimum inversion temperature to critical temperature and compare it with some well-known black holes.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
