Parametric phase transition for Gauss-Bonnet AdS black hole

TL;DR

This paper analytically investigates the phase transition and thermodynamic properties of five-dimensional Gauss-Bonnet AdS black holes, revealing the dominance of attractive interactions during phase transitions.

Contribution

It provides the second analytical solution to the first order phase transition and explores thermodynamic geometry in Gauss-Bonnet AdS black holes.

Findings

Identified the second analytical solution to the phase transition.

Analyzed critical exponents and amplitudes.

Found attractive interactions dominate in both phases.

Abstract

With the help of the parametric solution of the Maxwell equal area law for the Gauss-Bonnet AdS black hole in five dimensions, we find the second analytical solution to the first order phase transition. We analyze the asymptotic behaviors of some characteristic thermodynamic properties for the small and large black holes at the critical and zero temperatures and also calculate the critical exponents and the corresponding critical amplitudes in detail. Moreover, we give the general form of the thermodynamic scalar curvature based on the Ruppeiner geometry and point out that the attractive interaction dominates in both the small and large black hole phases when the first order phase transition occurs in the five dimensional Gauss-Bonnet AdS black hole.