New type of phase transition in Reissner Nordström–AdS black hole and its thermodynamic geometry

Rabin Banerjee, Sumit Ghosh, Dibakar Roychowdhury
2011 Physics Letters B  
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
more » ... ion. 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.
doi:10.1016/j.physletb.2010.12.010 fatcat:4fsv3cox6bf53dbcnx36r5bfmu