Born-Infeld黑洞的复平面相图与威德姆线：具有重新进入相变的相变
Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition
AI总结：
本文研究了Born-Infeld AdS黑洞的复平面相图和威德姆线，通过Lee-Yang零点分析揭示了非线性效应如何改变临界区域的相变类型和特征，同时保持超临界区域威德姆线的唯一性。
摘要：
在反德西特（AdS）黑洞中应用Lee-Yang相变理论，激发了黑洞热力学中复相图和超临界现象的探索。在本研究中，我们将该方法扩展到四维Born-Infeld AdS黑洞。由于Born-Infeld非线性参数的调制，该系统表现出丰富的相结构，包括重新进入相变。通过Lee-Yang零点，我们获得了Born-Infeld AdS黑洞的复相图，并推导出超临界交叉线——威德姆线，该线严格源于一级稳定临界点。结果表明，Born-Infeld非线性效应显著改变了临界区域的相变类型和特征，而在超临界区域并不破坏威德姆线的唯一性。本研究揭示了非线性引力系统在超临界区域热力学行为的普遍简化特征。同时加深了我们对黑洞扩展相空间中临界现象与连续相变之间基本联系的理解。
英文摘要：
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.
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