Thermodynamics of dyonic black holes in non-linear electrodynamics

TL;DR

This paper explores the complex thermodynamic behavior of dyonic black holes within non-linear electrodynamics, revealing multiple phase transitions and novel extremal properties through analytical and numerical methods.

Contribution

It provides a detailed analysis of the thermodynamics of dyonic black holes in non-linear electrodynamics, including new phase phenomena and extremal behaviors.

Findings

Up to five thermodynamic turning points identified.

Multiple reentrant phase transitions observed.

Modified extremal limit behavior in special cases.

Abstract

We investigate dyonic black holes in a weak field expansion of non-linear electrodynamics. The breadth of parameter space permits a rich thermodynamic structure, additional turning points and intricate phase phenomena. Energy conditions are employed to ensure the physical viability of solutions. Analytic special cases illustrate novel properties of black holes in non-linear electrodynamics, including modified extremal limit behaviour. Numerical solutions offer the most elaborate thermodynamic landscape, culminating in up to five turning points, and multiple reentrant phase transitions.