Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition

Abstract

The Lee-Yang phase transition theory applied in the anti-de Sitter (AdS) black hole has inspired the exploration of complex phase diagram and supercritical phenomena in black hole thermodynamics. In this study, we extend the approach to the four dimensional Born-Infeld AdS black hole. This system exhibits a rich phase structure, including reentrant phase transitions, due to the modulation of the Born-Infeld nonlinear parameter. Through the Lee-Yang zeros, we obtained the complex phase diagram of the Born-Infeld AdS black hole and derived the supercritical crossover line -- Widom line, which strictly originates from the first-order stable critical point. The results indicate that Born-Infeld nonlinear effects significantly alter the types and characteristics of phase transition in critical region, while do not disrupt the uniqueness of the Widom line in supercritical region. Our study uncovers a universal simplified feature of the thermodynamic behavior of nonlinear gravitational systems in supercritical region. It also deepens our understanding of the fundamental connection between critical phenomena and continuous phase transitions in the extended phase space of black holes.

v1: 12 pages, 8 figures; v2: references and related discussions have been added;v3: publish version in EPJC

References in corpus (8)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Black Hole Solutions as Topological Thermodynamic Defects
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
• Thermodynamics of Born-Infeld Black Holes
• Black Hole Chemistry: the first 15 years
• Characterized behaviors of black hole thermodynamics in the supercritical region
• Thermodynamic supercriticality and complex phase diagram for the AdS black hole