Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics

Understand

In the extended thermodynamics of black holes, there is a dynamical pressure and its conjugate volume.

• The phase structure of many of these black holes has been studied a great deal and shown to give close analogues of the phase structure of various ordinary matter systems.
• However, we point out that the most studied black holes in this framework, such as Schwarzschild-AdS and Reissner-Nordstrom-AdS, and various analogues in higher-derivative gravity, do not have the type of elementary degrees of freedom that play a central role in the classic models of matter.
• This is because they have vanishing specific heat at constant volume, C_V.