P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole

TL;DR

This paper investigates the thermodynamics and critical behavior of logarithmic corrected dyonic charged AdS black holes, revealing quantum effects through thermal fluctuations and confirming the holographic duality with a van der Waals fluid.

Contribution

It introduces logarithmic entropy corrections to black hole thermodynamics and analyzes their impact on criticality and stability, highlighting quantum effects in small black holes.

Findings

Logarithmic corrections affect black hole phase transitions.

Holographic duality remains valid with corrections.

Thermal fluctuations reveal quantum effects in black holes.

Abstract

In this paper, we consider dyonic charged AdS black hole which is holographic dual of a van der Waals fluid. We use logarithmic corrected entropy and study thermodynamics of the black hole and show that holographic picture is still valid. Critical behaviors and stability also discussed. Logarithmic corrections arises due to thermal fluctuations which are important when size of black hole be small. So, thermal fluctuations interpreted as quantum effect. It means that we can see quantum effect of a black hole which is a gravitational system.