# Configurational entropy of charged AdS black holes

## TL;DR

This paper investigates the behavior of configurational entropy in charged AdS black holes across higher dimensions, revealing how it varies with temperature and dimension, especially near phase transition points.

## Contribution

It extends the analysis of configurational entropy to higher-dimensional charged AdS black holes and explores its relation to phase transitions and dimensional effects.

## Key findings

- Configurational entropy is a concave function of reduced temperature, peaking at the critical point.
- Higher dimensions increase the concavity of configurational entropy.
- The reduced pressure function becomes more convex as dimension increases.

## Abstract

When we consider charged AdS black holes in higher dimensional spacetime and a molecule number density along coexistence curves is numerically extended to higher dimensional cases. It is found that a number density difference of a small and large black holes decrease as a total dimension grows up. In particular, we find that a configurational entropy is a concave function of a reduced temperature and reaches a maximum value at a critical (second-order phase transition) point. Furthermore, the bigger a total dimension becomes, the more concave function in a configurational entropy while the more convex function in a reduced pressure.