Interaction potential and thermo-correction to the equation of state for thermally stable Schwarzschild Anti-de Sitter black holes

TL;DR

This paper explores the microscopic structure of thermodynamically stable Schwarzschild Anti-de Sitter black holes by analyzing molecular interactions and deriving thermo-corrections to their equation of state.

Contribution

It introduces an interaction potential based on thermodynamic scalar curvature and derives thermo-corrections to the equation of state for SAdS black holes.

Findings

Interaction potential among black hole molecules established

Thermo-corrections to the equation of state derived

Analysis of molecular interactions confirms stability

Abstract

The microscopic structure of black holes remains a challenging subject. In this paper, based on the well-accepted fact that black holes can be mapped to thermodynamic systems, we make a preliminary exploration of the microscopic structure of the thermodynamically stable Schwarzschild anti-de-Sitter (SAdS) black hole. In accordance with the number density and thermodynamic scalar curvature, we give the interaction potential among the molecules of thermodynamically stable SAdS black holes and analyze its effectiveness. Moreover, we derive the thermo-correction to the equation of state for such black holes that arises from interactions among black-hole molecules using virial coefficients.