Phase transition of non-linear charged Anti-de Sitter black holes

Abstract

Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of phase transition for non-linear charged AdS black holes using the Maxwell's equal-area law, and analysis the boundary and curve of the two-phase coexistence area in the expanded phase space. We suggest that the phase transition of the non-linear charged AdS black hole with the fixed temperature ($T<T_c$) is related to the electric potential at the horizon, not only to the location of horizon. Recently, the molecular number density was introduced to study the phase transition and microstructure of black holes. On this basis, we discuss the continuous phase transition of a non-linear charged AdS black hole to reveal the potential microstructure of a black hole by introducing the order parameter and using the scalar curvature.

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• Topology and phase transition for EPYM AdS black hole in thermal potential
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Topology of the charged AdS black hole in restricted phase space
• Barrow's non-linear charged Anti-de Sitter black hole and stability
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes