The European Physical Journal C

, Volume 70, Issue 1–2, pp 317–328 | Cite as

Glassy phase transition and stability in black holes

  • Rabin Banerjee
  • Sujoy Kumar Modak
  • Saurav SamantaEmail author
Regular Article - Theoretical Physics


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) for a glassy phase transition. Thus our analysis indicates a very close connection between the phase transition phenomena of a black hole and glass forming systems. Finally, we discuss the robustness of our results by considering different normalisations for the correction term.


Phase Transition Black Hole High Energy Phys Order Phase Transition Black Hole Entropy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Rabin Banerjee
    • 1
  • Sujoy Kumar Modak
    • 1
  • Saurav Samanta
    • 2
    Email author
  1. 1.S.N. Bose National Centre for Basic SciencesKolkataIndia
  2. 2.Narasinha Dutt CollegeHowrahIndia

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