Glassy phase transition and stability in black holes

@article{Banerjee2010GlassyPT,
  title={Glassy phase transition and stability in black holes},
  author={Rabin Banerjee and Sujoy Kumar Modak and S. Samanta},
  journal={The European Physical Journal C},
  year={2010},
  volume={70},
  pages={317-328}
}
Black hole thermodynamics, confined to the semi-classical regime, cannot address the thermodynamic stability of a black hole in flat space. Here we show that inclusion of a correction beyond the semi-classical approximation makes a black hole thermodynamically stable. This stability is reached through a phase transition. By using Ehrenfest’s scheme we further prove that this is a glassy phase transition with a Prigogine–Defay ratio close to 3. This value is well within the desired bound (2 to 5… 
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