2019/09/22 by Yun-Zhi Du, Ren Zhao, Hui-Hua Zhao +1
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Condensed matter physics #Cosmology and Gravitation Theories #Critical phenomena #Critical point (mathematics) #Extremal black hole #First order #Geometry #Horizon #Mathematics #Order (exchange) #Phase (matter) #Phase transition #Physics #Quantum mechanics #Rotating black hole #Spin-flip #hep-th
paper · pdf · doi:10.1007/s10773-021-04814-z
published as Int J Theor Phys (2021)
arxiv created 2019/09/22 · openalex publication_date 2021/04/28 · arxiv updated 2021/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Some ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell’s equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole’s horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.