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Quantum thermodynamics of the charged AdS black hole with nonlinear electrodynamics field

R.H. Ali
(
- Islamia U. Bahawalpur
)
,
B. Pourhassan
(
- Damghan U. and
- Khazar U., Baku and
- Kalu Jhanda, Chitkara U.
)
,
G. Mustafa
(
- Islamia U. Bahawalpur
)

Feb 17, 2024

18 pages

Published in:

Chin.J.Phys. 88 (2024) 768-785

Published: Feb 17, 2024

DOI:

10.1016/j.cjph.2024.02.020 (publication)

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Abstract: (Elsevier B.V.)

In this paper, we investigate the thermodynamic properties of an AdS-charged black hole coupled with a nonlinear electrodynamic field, taking into account the effects of thermal fluctuations. Our analysis focuses on how thermal fluctuations impact the entropy of the black hole. It is known that at the quantum level, thermal fluctuations bring about changes in the entropy of a black hole in both exponential and logarithmic ways. We present the logarithmic and exponentially corrected thermodynamic characteristics of the black hole, such as Helmholtz free energy, pressure, enthalpy, Gibbs free energy, and specific heat. A comparative analysis of equilibrium states with corrected thermodynamic potentials is conducted to observe the significant influence of the black hole under consideration. Additionally, we examine a second-order phase transition in the case of non-perturbed correction. •Studies thermodynamics of charged AdS black hole with nonlinear electrodynamics.•Thermodynamic properties investigated under quantum effects.•Logarithmic and exponentially corrected entropy is considered.•We obtain the situation of the black hole at the last stage.•Exponential correction causes first-order phase transition in free energy.

Black hole
Thermal fluctuation
Logarithmic correction
Exponential correction
Phase transition
fluctuation: thermal
black hole: anti-de Sitter
electromagnetic field: nonlinear
black hole: entropy
thermodynamics: quantum

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