Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity

TL;DR

This paper investigates the thermodynamics, phase transitions, and microscopic interactions of Euler-Heisenberg black holes with QED corrections in a cavity, revealing complex phase behaviors and the nature of black hole microstructure.

Contribution

It introduces the study of thermodynamic phase structures and geometry of Euler-Heisenberg black holes with QED effects in a cavity, highlighting novel phase transition phenomena.

Findings

Small/large black hole phase transition for negative QED parameter

Reentrant phase transition for small positive QED parameter

Microscopic interactions vary between attraction and repulsion during phase transitions

Abstract

The Euler-Heisenberg black holes with quantum electrodynamics (QED) correction are embraced by a cavity in this paper, which serves as a boundary of the black hole spacetime and contributes to the equilibrium of the system. We explore the thermodynamic properties of the black hole, including the phase transitions and phase structures. The small/large black hole phase transition occurs for a negative QED parameter, while the reentrant phase transition can be observed for a small positive QED parameter. Then the thermodynamic geometry is investigated to diagnose microscopic interactions of black hole thermodynamic systems. For the reentrant phase transition, the small black holes are dominated by repulsion for the first-order coexistence curve, while the interaction between the small black hole molecules could be attractive or repulsive for the small/large black hole phase transition.