Schottky Anomaly of deSitter Black Holes

Understand

The interplay of black hole and cosmological horizons introduces distinctive thermodynamic behavior for deSitter black holes, including well-known upper bounds for the mass and entropy.

• We point to a new such feature, a Schottky peak in the heat capacity of Schwarzschild-deSitter (SdS) black holes.
• With this behavior in mind, we explore statistical models for the underlying quantum degrees of freedom of SdS holes.
• While a simple two-state spin model gives Schottky behavior, in order to capture the non-equilibrium nature of the SdS system we consider a system with a large number of non-interacting spins.