Thermal Fluctuations Effects on Reissner-Nordstr\"om-AdS Black Hole

TL;DR

This paper investigates how thermal fluctuations influence the thermodynamics and phase transitions of Reissner-Nordström-AdS black holes, revealing that critical exponents remain unchanged despite fluctuations.

Contribution

It introduces corrected thermodynamic quantities and analyzes phase transitions considering thermal fluctuations in RN-AdS black holes.

Findings

Thermal fluctuations modify entropy, temperature, and heat capacities.

Phase transition behavior is affected by thermal fluctuations.

Critical exponents remain unchanged with thermal fluctuations.

Abstract

In this paper, we study the effects of thermal fluctuations for Reissner-Nordstr\"om-AdS (RNAdS) black hole. We obtain the corrected thermodynamic quantities such as entropy, temperature, equation of state and heat capacities in the presence of thermal fluctuations. We also investigate the phase transition of RN-AdS black hole for thermal fluctuations. Finally we compute the critical exponents for small thermal fluctuations. We show that critical exponents are the same as critical exponents without thermal fluctuations.