Thermal Fluctuations in a Charged AdS Black Hole

TL;DR

This paper investigates how thermal fluctuations modify the thermodynamics of a charged AdS black hole, revealing entropy corrections and analyzing phase transitions through corrected thermodynamic quantities.

Contribution

It introduces logarithmic corrections to black hole entropy and explores their impact on thermodynamic stability and phase transitions.

Findings

Entropy receives logarithmic corrections due to thermal fluctuations.

Corrected specific heat indicates modified phase transition behavior.

Thermal fluctuations significantly influence black hole thermodynamics.

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.