Thermal fluctuations in a charged AdS black hole

Abstract

In this paper, we will analyze the effects of thermal fluctuations on a charged AdS black hole. This will be done by analyzing the corrections to black hole thermodynamics due to these thermal fluctuations. We will demonstrate that the entropy of this black hole get corrected by logarithmic term. We will also calculate other corrections to other important thermodynamic quantities for this black hole. Finally, we will use the corrected value of the specific heat to analyze the phase transition in this system.

The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model

“…They can also be analyzed using the relation of the black hole microstates with a conformal field theory. It has been observed that the effects of thermal fluctuations from both of these approaches are the same for all black hole solutions that have been previously analyzed using this formalism [27,29,30,32,33,45]. However, in this paper, it was observed that the effects of thermal fluctuations for a charged STU black hole from the energy fluctuations are different from the effects of thermal fluctuations for a STU black hole obtained from conformal field theory.…”

“…So, we observe that the effect of thermal fluctuations for the STU black holes is different from the effect of thermal fluctuation on most other black hole solutions. This is because the correction from both these approaches generated the same effects for all the other black holes that have been analyzed using this formalism [27,29,30,32,33,45]. Now using the logarithmic corrected entropy (11), we can obtain the corrected specific heat as…”

“…Thus, when the size of the black hole becomes of the order of the Planck scale, the temperature of the black hole becomes very large, and the contribution from thermal fluctuations also becomes very important for such black holes. The effects of thermal fluctuations on a black hole in an anti-de Sitter space-time have been studied, and the correction to thermodynamics of such a black hole has also been obtained [29]. The corrected thermodynamics of such a black hole has been used for analyzing the phase transition in that system.…”

Thermal fluctuations in a hyperscaling-violation background

“…Finally, we used Gibbs free energy to analyze criticality for this system. It may be noted that the thermal fluctuations to the thermodynamics of various geometries has been recently studied [29][30][31][32]. However, most of the work on the corrected thermodynamics has been done using the logarithmic correction term.…”

Effects of thermal fluctuations on the thermodynamics of modified Hayward black hole

“…where I → −i I is the Euclidean action for this system [40]. It is possible to relate it to the partition function in statistical mechanical terms by…”