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

Abstract

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.