Logarithmic corrected Van der Waals black holes in higher dimensional AdS space

TL;DR

This paper investigates how logarithmic corrections from thermal fluctuations influence the thermodynamics and stability of higher-dimensional AdS black holes, leading to the construction of Van der Waals black hole solutions.

Contribution

It introduces logarithmic corrections into the thermodynamics of higher-dimensional AdS black holes and explores their impact on Van der Waals black hole stability and equations of state.

Findings

Logarithmic corrections stabilize Van der Waals black holes.

Thermal fluctuations significantly affect the black hole thermodynamics.

The corrected black holes remain stable under thermal fluctuations.

Abstract

In this paper, we consider AdS black hole in $d$-dimensional space-time and calculate the logarithmic corrected thermodynamics quantities. We study the effects of thermal fluctuations on the thermodynamics of higher dimensional AdS black hole. We exploit such logarithmic corrected quantities to construct Van der Walls black holes solution and study the effects of logarithmic correction on the Van der Waals black holes. We also investigate the effect of thermal fluctuations on the equation of state. We find that the Van der Waals black hole is completely stable in the presence of the logarithmic correction.