2010/08/31 by Rabin Banerjee, Sumit Ghosh, Dibakar Roychowdhury · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Curvature #Discontinuity (linguistics) #Entropy (arrow of time) #First order #Geometry #Heat capacity #Mathematical analysis #Mathematical physics #Mathematics #Phase transition #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar curvature #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2010.12.010
published as Phys.Lett.B696:156-162,2011 · Major revisions in Sec. 3. New results and interpretations. 2 new references. To appear in Phys. Lett. B
arxiv created 2010/12/09 · openalex publication_date 2010/12/10 · arxiv updated 2012/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The phase transition of a RN–AdS black hole is studied in details using Ehrenfest's equations. There is no discontinuity in entropy which signals a lack of any first order phase transition. We then show that although Ehrenfest's first equation is satisfied, the second is not, so that a true second order phase transition is also ruled out. However this deviation from the second Ehrenfest's equation, for a certain range of the black hole charge, indicates the existence of a new glassy type transition. We finally study the thermodynamic behaviour using state space geometry and find that the scalar curvature diverges exactly at those points where the heat capacity diverges.