Phase diagrams of a nonlinear magnetic charged rotating AdS black hole with a quintessence field

TL;DR

This study explores the thermodynamic phase transitions of a nonlinear magnetic charged rotating AdS black hole influenced by a quintessence field, revealing critical phenomena similar to van der Waals fluids and emphasizing thermal fluctuations' effects.

Contribution

It provides the first detailed analysis of phase diagrams and critical behavior of such black holes considering thermal fluctuations and quintessence influence.

Findings

Thermal fluctuations significantly modify entropy of small black holes.

Quintessence field alters phase transition points and critical behavior.

Black hole phase transitions resemble van der Waals fluid behavior.

Abstract

In this paper, we investigate the phase transitions and critical behavior of a nonlinear magnetically charged rotating AdS black hole, with a particular emphasis on the influence of a quintessence field. Our comprehensive thermodynamic analysis explores the impact of thermal fluctuations on the black hole's properties. We observe that for larger black holes, the corrected entropy remains positive, similar to the uncorrected case, which highlights the significant role of thermal fluctuations in modifying the entropy of smaller black holes. Through a meticulous analysis of various thermodynamic properties, we derive explicit analytical expressions for the critical points. Our findings demonstrate that the quintessence field significantly affects phase transitions, resulting in distinct critical phenomena. Notably, the black hole's phase transitions exhibit striking similarities to those observed in van der Waals fluids, offering deeper insights into the complex thermodynamic behavior of these systems across different scales.