Phase transition and Clapeyron equation of black holes in higher dimensional AdS spacetime

2014/11/30 by Hui-Hua Zhao, Li-Chun Zhang, Meng-Sen Ma +1 · 24 citations
Physics and Astronomy · #AdS black hole #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Cosmology and Gravitation Theories #Critical phenomena #Mathematical physics #Phase (matter) #Phase transition #Physics #Quantum mechanics #Rotating black hole #Schwarzschild radius #Spacetime #hep-th

paper · pdf · doi:10.1088/0264-9381/32/14/145007

published in Classical and Quantum Gravity 32(14), 145007 (IOP Publishing) · 21 pages, 16 figures

openalex publication_date 2015/07/01 · arxiv created 2016/06/21 · arxiv updated 2016/06/22 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

Using Maxwell's equal area law, we study the phase transition in higher dimensional anti-de Sitter (AdS) Reissner–Nordström black holes and Kerr black holes in this paper. The coexisting region of the two phases involved in the phase transition is found and some coexisting curves are shown in P − T figures. We also analytically investigate the parameters that affect the phase transition. To better compare with a general thermodynamic system, the Clapeyron equation is derived for the higher dimensional AdS black holes.

Citations

• Geometric description of the thermodynamics of a black hole with power Maxwell invariant source
• New type of phase transition in Reissner Nordström–AdS black hole and its thermodynamic geometry
• The general Kerr–de Sitter metrics in all dimensions
• The four laws of black hole mechanics
• Black hole explosions?
• Black hole enthalpy and an entropy inequality for the thermodynamic volume
• Thermodynamics of black holes in anti-de Sitter space
• Thermodynamic volumes and isoperimetric inequalities for de Sitter black holes