Glassy Phase Transition and Stability in Black Holes

Details Glassy Phase Transition and Stability in Black Holes Glassy Phase Transition and Stability in Black Holes

2010-02-02

arxiv.org/abs/1002.0466v3

Eur.Phys.J.C70:317-328,2010

Physics

High Energy Physics

High Energy Physics - Theory

v3, minor changes over v2, references added, LaTeX-2e, 18 pages, 3 ps figures, to appear in Eour. Phys. Jour. C

Scientific paper

10.1140/epjc/s10052-010-1443-y

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 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 placed 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.

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