Thermodynamics of higher dimensional black holes with higher order thermal fluctuations

TL;DR

This paper studies how higher order thermal fluctuations influence the thermodynamics and phase transitions of higher dimensional charged black holes, revealing stability effects and deviations from Van der Waals behavior in higher dimensions.

Contribution

It introduces higher order entropy corrections from thermal fluctuations into black hole thermodynamics and analyzes their impact on stability and phase behavior across dimensions.

Findings

Logarithmic and inverse entropy corrections affect thermodynamic quantities.

Five-dimensional black holes exhibit Van der Waals behavior, higher dimensions do not.

Thermal fluctuations influence black hole stability and phase transitions.

Abstract

In this paper, we consider higher order corrections of the entropy, which coming from thermal fluctuations, and find their effect on the thermodynamics of higher dimensional charged black holes. Leading order thermal fluctuation is logarithmic term in the entropy while higher order correction is proportional to the inverse of original entropy. We calculate some thermodynamics quantities and obtain the effect of logarithmic and higher order corrections of entropy on them. Validity of the first law of thermodynamics investigated and Van der Waals equation of state of dual picture studied. We find that five-dimensional black hole behaves as Van der Waals, but higher dimensional case have not such behavior. We find that thermal fluctuations are important in stability of black hole hence affect unstable/stable black hole phase transition.